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Decimal Fractions — Practice Questions – KLEE Arithmetic & Mental Ability Test 3

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Solved examples

from the guide

The value of 42/10000 as a decimal fraction is:

Answer: .0042 — Dividing by 10000 moves the decimal point four places left.

from the guide

101 + 27/100000 in decimal form is:

Answer: 101.00027 — 27/100000 = 0.00027; 101 + 0.00027 = 101.00027.

from the guide

When 0.36 is written in simplest fractional form, the sum of numerator and denominator is:

Answer: 34 — 0.36 = 9/25; 9 + 25 = 34.

from the guide

The place value of 9 in 0.06945 is:

Answer: 9/1000 — 9 is in the thousandths place.

from the guide

How many times is 0.1 greater than 0.01?

Answer: 10 times — 0.1 ÷ 0.01 = 10.

from the guide

Out of 3/7, 4/11, 5/9, 6/13, 7/12, which is the second largest?

Answer: 5/9 — Decimals 0.428, 0.363, 0.555, 0.461, 0.583: largest 7/12, second 5/9.

from the guide

Which arrangement of 3/5, 2/3, 7/9, 9/11, 8/9 is in ascending order?

Answer: 3/5, 2/3, 7/9, 9/11, 8/9 — Decimals 0.6, 0.66, 0.77, 0.81, 0.88.

from the guide

Arrange 5/9, 7/11, 8/15, 11/17 in descending order.

Answer: 11/17, 7/11, 5/9, 8/15 — Decimals 0.647, 0.636, 0.556, 0.533.

from the guide

The difference between the biggest and smallest of 2/3, 3/4, 4/5, 5/6 is:

Answer: 1/6 — 5/6 − 2/3 = 1/6.

from the guide

The least among 15/16, 19/20, 24/25, 34/35 is:

Answer: 15/16 — 0.9375 is smallest.

from the guide

Out of 9/31, 3/17, 6/23, 4/11, 7/25, which is the largest?

Answer: 4/11 — 4/11 = 0.363 is the largest.

from the guide

If 2/5, 3/8, 4/9, 5/13, 6/11 are arranged in ascending order, which is fourth?

Answer: 4/9 — Order: 3/8, 5/13, 2/5, 4/9, 6/11.

from the guide

Which arrangement of 11/14, 16/19, 19/21 is in ascending order?

Answer: 11/14, 16/19, 19/21 — 0.785 < 0.842 < 0.904.

from the guide

Which of 13/16, 15/19, 17/21, 7/8 is the smallest?

Answer: 15/19 — 15/19 = 0.789 is the smallest.

from the guide

Which fraction is greater than 3/4 and less than 5/6?

Answer: 4/5 — 0.75 < 0.8 < 0.833.

from the guide

Which fraction is less than 7/8 and greater than 1/3?

Answer: 17/24 — 0.333 < 0.708 < 0.875.

from the guide

Which number does NOT lie between 4/5 and 7/13? (1/2, 2/3, 3/4, 5/7)

Answer: 1/2 — 7/13 = 0.538 and 1/2 = 0.5 is below it.

Practice questions

1.

The value of 375/10000 as a decimal is:

  1. A. 0.00375
  2. B. 0.0375
  3. C. 0.375
  4. D. 3.75

Answer: Option B

Explanation:

Move the decimal point four places left: 0.0375.

2.

The value of 7/1000 as a decimal is:

  1. A. 0.007
  2. B. 0.0007
  3. C. 0.7
  4. D. 0.07

Answer: Option A

Explanation:

Move the decimal point three places left: 0.007.

3.

The value of 1234/100 as a decimal is:

  1. A. 0.1234
  2. B. 12.34
  3. C. 1.234
  4. D. 123.4

Answer: Option B

Explanation:

Move the decimal point two places left: 12.34.

4.

The value of 56/100000 as a decimal is:

  1. A. 0.056
  2. B. 0.00056
  3. C. 0.0056
  4. D. 0.000056

Answer: Option B

Explanation:

Move the decimal point five places left: 0.00056.

5.

The value of 9/250 as a decimal is:

  1. A. 0.009
  2. B. 0.036
  3. C. 0.0036
  4. D. 0.36

Answer: Option B

Explanation:

9/250 = 36/1000 = 0.036.

6.

45 + 3/1000 in decimal form is:

  1. A. 45.003
  2. B. 45.3
  3. C. 45.03
  4. D. 45.0003

Answer: Option A

Explanation:

3/1000 = 0.003, so the value is 45.003.

7.

7 + 19/10000 in decimal form is:

  1. A. 7.0019
  2. B. 7.00019
  3. C. 7.19
  4. D. 7.019

Answer: Option A

Explanation:

19/10000 = 0.0019, so the value is 7.0019.

8.

250 + 4/100 in decimal form is:

  1. A. 250.004
  2. B. 250.04
  3. C. 250.4
  4. D. 254

Answer: Option B

Explanation:

4/100 = 0.04, so the value is 250.04.

9.

12 + 305/100000 in decimal form is:

  1. A. 12.000305
  2. B. 12.305
  3. C. 12.0305
  4. D. 12.00305

Answer: Option D

Explanation:

305/100000 = 0.00305, so the value is 12.00305.

10.

3 + 1/8 in decimal form is:

  1. A. 3.125
  2. B. 3.18
  3. C. 3.0125
  4. D. 3.8

Answer: Option A

Explanation:

1/8 = 0.125, so the value is 3.125.

11.

When 0.45 is written in simplest fractional form, the sum of numerator and denominator is:

  1. A. 31
  2. B. 49
  3. C. 145
  4. D. 29

Answer: Option D

Explanation:

0.45 = 45/100 = 9/20; 9 + 20 = 29.

12.

When 0.125 is written in simplest fractional form, the sum of numerator and denominator is:

  1. A. 13
  2. B. 1,125
  3. C. 9
  4. D. 8

Answer: Option C

Explanation:

0.125 = 1/8; 1 + 8 = 9.

13.

When 0.84 is written in simplest fractional form, the sum of numerator and denominator is:

  1. A. 42
  2. B. 184
  3. C. 50
  4. D. 46

Answer: Option D

Explanation:

0.84 = 84/100 = 21/25; 21 + 25 = 46.

14.

When 0.075 is written in simplest fractional form, the sum of numerator and denominator is:

  1. A. 43
  2. B. 83
  3. C. 1,075
  4. D. 41

Answer: Option A

Explanation:

0.075 = 75/1000 = 3/40; 3 + 40 = 43.

15.

When 0.625 is written in simplest fractional form, the sum of numerator and denominator is:

  1. A. 13
  2. B. 1,625
  3. C. 9
  4. D. 21

Answer: Option A

Explanation:

0.625 = 5/8; 5 + 8 = 13.

16.

The place value of 4 in 0.0647 is:

  1. A. 4
  2. B. 4/10000
  3. C. 4/100
  4. D. 4/1000

Answer: Option D

Explanation:

0.0647: 6 is in the hundredths place and 4 in the thousandths place.

17.

The place value of 7 in 3.0057 is:

  1. A. 7/1000
  2. B. 7/100
  3. C. 7/10000
  4. D. 7

Answer: Option C

Explanation:

7 is the fourth digit after the decimal point: ten-thousandths.

18.

The place value of 2 in 15.2 is:

  1. A. 20
  2. B. 2/10
  3. C. 2
  4. D. 2/100

Answer: Option B

Explanation:

2 is the first digit after the decimal point: tenths.

19.

The place value of 5 in 0.0005 is:

  1. A. 5/10000
  2. B. 5/100000
  3. C. 5
  4. D. 5/1000

Answer: Option A

Explanation:

5 is the fourth digit after the decimal point: ten-thousandths.

20.

The place value of 8 in 4.381 is:

  1. A. 8
  2. B. 8/100
  3. C. 8/10
  4. D. 8/1000

Answer: Option B

Explanation:

8 is the second digit after the decimal point: hundredths.

21.

How many times is 0.5 greater than 0.005?

  1. A. 1000 times
  2. B. 1 time
  3. C. 10 times
  4. D. 100 times

Answer: Option D

Explanation:

0.5 ÷ 0.005 = 100.

22.

How many times is 3 greater than 0.003?

  1. A. 1000 times
  2. B. 100 times
  3. C. 10000 times
  4. D. 10 times

Answer: Option A

Explanation:

3 ÷ 0.003 = 1000.

23.

How many times is 0.7 greater than 0.07?

  1. A. 100 times
  2. B. 1000 times
  3. C. 10 times
  4. D. 7 times

Answer: Option C

Explanation:

0.7 ÷ 0.07 = 10.

24.

How many times is 0.06 greater than 0.000006?

  1. A. 1000 times
  2. B. 100000 times
  3. C. 100 times
  4. D. 10000 times

Answer: Option D

Explanation:

0.06 ÷ 0.000006 = 10,000.

25.

How many times is 25 greater than 0.25?

  1. A. 25 times
  2. B. 1000 times
  3. C. 100 times
  4. D. 10 times

Answer: Option C

Explanation:

25 ÷ 0.25 = 100.

26.

Out of 2/3, 3/5, 5/7, 4/9, which is the second largest?

  1. A. 3/5
  2. B. 2/3
  3. C. 4/9
  4. D. 5/7

Answer: Option B

Explanation:

2/3 = 0.667, 3/5 = 0.6, 5/7 = 0.714, 4/9 = 0.444; second largest is 2/3.

27.

Out of 3/8, 2/7, 5/12, 4/9, which is the second smallest?

  1. A. 2/7
  2. B. 4/9
  3. C. 3/8
  4. D. 5/12

Answer: Option C

Explanation:

3/8 = 0.375, 2/7 = 0.286, 5/12 = 0.417, 4/9 = 0.444; second smallest is 3/8.

28.

Out of 7/9, 9/11, 11/13, 5/6, which is the largest?

  1. A. 9/11
  2. B. 5/6
  3. C. 7/9
  4. D. 11/13

Answer: Option D

Explanation:

7/9 = 0.778, 9/11 = 0.818, 11/13 = 0.846, 5/6 = 0.833.

29.

Out of 4/5, 7/9, 9/11, 5/7, which is the smallest?

  1. A. 7/9
  2. B. 4/5
  3. C. 9/11
  4. D. 5/7

Answer: Option D

Explanation:

4/5 = 0.8, 7/9 = 0.778, 9/11 = 0.818, 5/7 = 0.714.

30.

Out of 1/2, 3/5, 4/7, 5/8, which is the second largest?

  1. A. 4/7
  2. B. 5/8
  3. C. 3/5
  4. D. 1/2

Answer: Option C

Explanation:

1/2 = 0.5, 3/5 = 0.6, 4/7 = 0.571, 5/8 = 0.625; second largest is 3/5.

31.

Arrange 1/2, 2/3, 3/4, 3/5 in ascending order.

  1. A. 3/4, 2/3, 3/5, 1/2
  2. B. 1/2, 2/3, 3/5, 3/4
  3. C. 1/2, 3/5, 2/3, 3/4
  4. D. 3/5, 1/2, 2/3, 3/4

Answer: Option C

Explanation:

0.5 < 0.6 < 0.667 < 0.75.

32.

Arrange 5/8, 4/7, 7/11, 3/5 in ascending order.

  1. A. 4/7, 5/8, 3/5, 7/11
  2. B. 4/7, 3/5, 5/8, 7/11
  3. C. 7/11, 5/8, 3/5, 4/7
  4. D. 3/5, 4/7, 5/8, 7/11

Answer: Option B

Explanation:

0.571 < 0.6 < 0.625 < 0.636.

33.

Arrange 2/9, 1/4, 3/11, 1/5 in ascending order.

  1. A. 1/5, 2/9, 1/4, 3/11
  2. B. 3/11, 1/4, 2/9, 1/5
  3. C. 1/5, 1/4, 2/9, 3/11
  4. D. 2/9, 1/5, 1/4, 3/11

Answer: Option A

Explanation:

0.2 < 0.222 < 0.25 < 0.273.

34.

Arrange 7/10, 5/7, 2/3, 11/15 in ascending order.

  1. A. 2/3, 7/10, 5/7, 11/15
  2. B. 11/15, 5/7, 7/10, 2/3
  3. C. 7/10, 2/3, 5/7, 11/15
  4. D. 2/3, 5/7, 7/10, 11/15

Answer: Option A

Explanation:

0.667 < 0.7 < 0.714 < 0.733.

35.

Arrange 4/9, 3/7, 5/11, 2/5 in ascending order.

  1. A. 3/7, 2/5, 4/9, 5/11
  2. B. 2/5, 4/9, 3/7, 5/11
  3. C. 2/5, 3/7, 4/9, 5/11
  4. D. 5/11, 4/9, 3/7, 2/5

Answer: Option C

Explanation:

0.4 < 0.429 < 0.444 < 0.455.

36.

Arrange 3/4, 5/7, 7/9, 2/3 in descending order.

  1. A. 7/9, 5/7, 3/4, 2/3
  2. B. 3/4, 7/9, 5/7, 2/3
  3. C. 2/3, 5/7, 3/4, 7/9
  4. D. 7/9, 3/4, 5/7, 2/3

Answer: Option D

Explanation:

0.778 > 0.75 > 0.714 > 0.667.

37.

Arrange 4/5, 5/6, 7/8, 6/7 in descending order.

  1. A. 6/7, 7/8, 5/6, 4/5
  2. B. 7/8, 5/6, 6/7, 4/5
  3. C. 4/5, 5/6, 6/7, 7/8
  4. D. 7/8, 6/7, 5/6, 4/5

Answer: Option D

Explanation:

0.875 > 0.857 > 0.833 > 0.8.

38.

Arrange 1/3, 2/7, 3/10, 4/13 in descending order.

  1. A. 1/3, 3/10, 4/13, 2/7
  2. B. 1/3, 4/13, 3/10, 2/7
  3. C. 2/7, 3/10, 4/13, 1/3
  4. D. 4/13, 1/3, 3/10, 2/7

Answer: Option B

Explanation:

0.333 > 0.308 > 0.3 > 0.286.

39.

Arrange 5/12, 3/8, 7/18, 2/5 in descending order.

  1. A. 5/12, 2/5, 7/18, 3/8
  2. B. 3/8, 7/18, 2/5, 5/12
  3. C. 2/5, 5/12, 7/18, 3/8
  4. D. 5/12, 7/18, 2/5, 3/8

Answer: Option A

Explanation:

0.417 > 0.4 > 0.389 > 0.375.

40.

Arrange 9/10, 8/9, 10/11, 7/8 in descending order.

  1. A. 10/11, 8/9, 9/10, 7/8
  2. B. 10/11, 9/10, 8/9, 7/8
  3. C. 7/8, 8/9, 9/10, 10/11
  4. D. 9/10, 10/11, 8/9, 7/8

Answer: Option B

Explanation:

0.909 > 0.9 > 0.889 > 0.875.

41.

The difference between the biggest and smallest of 1/2, 3/5, 5/8, 3/4 is:

  1. A. 1/5
  2. B. 1/4
  3. C. 1/10
  4. D. 1/8

Answer: Option B

Explanation:

Biggest 3/4, smallest 1/2; 3/4 − 1/2 = 1/4.

42.

The difference between the biggest and smallest of 3/7, 4/9, 2/5, 5/11 is:

  1. A. 1/35
  2. B. 2/45
  3. C. 1/11
  4. D. 3/55

Answer: Option D

Explanation:

Biggest 5/11 (0.455), smallest 2/5 (0.4); 5/11 − 2/5 = 3/55.

43.

The difference between the biggest and smallest of 1/3, 2/5, 3/8, 1/4 is:

  1. A. 1/15
  2. B. 1/12
  3. C. 1/8
  4. D. 3/20

Answer: Option D

Explanation:

Biggest 2/5, smallest 1/4; 2/5 − 1/4 = 3/20.

44.

The difference between the biggest and smallest of 5/6, 7/9, 8/9, 2/3 is:

  1. A. 1/9
  2. B. 1/18
  3. C. 2/9
  4. D. 1/6

Answer: Option C

Explanation:

Biggest 8/9, smallest 2/3; 8/9 − 6/9 = 2/9.

45.

The difference between the biggest and smallest of 7/10, 3/4, 9/10, 3/5 is:

  1. A. 1/10
  2. B. 1/5
  3. C. 3/20
  4. D. 3/10

Answer: Option D

Explanation:

Biggest 9/10, smallest 3/5; 9/10 − 6/10 = 3/10.

46.

The least among 3/4, 5/6, 7/8, 9/10 is:

  1. A. 9/10
  2. B. 3/4
  3. C. 7/8
  4. D. 5/6

Answer: Option B

Explanation:

0.75 < 0.833 < 0.875 < 0.9.

47.

The greatest among 2/3, 4/5, 6/7, 8/9 is:

  1. A. 4/5
  2. B. 8/9
  3. C. 6/7
  4. D. 2/3

Answer: Option B

Explanation:

0.889 is the largest.

48.

The least among 11/12, 13/14, 9/10, 7/8 is:

  1. A. 11/12
  2. B. 13/14
  3. C. 9/10
  4. D. 7/8

Answer: Option D

Explanation:

7/8 = 0.875 is the smallest.

49.

The greatest among 5/9, 6/11, 7/13, 8/15 is:

  1. A. 5/9
  2. B. 7/13
  3. C. 8/15
  4. D. 6/11

Answer: Option A

Explanation:

5/9 = 0.556, 6/11 = 0.545, 7/13 = 0.538, 8/15 = 0.533.

50.

The least among 49/50, 99/100, 24/25, 19/20 is:

  1. A. 49/50
  2. B. 99/100
  3. C. 24/25
  4. D. 19/20

Answer: Option D

Explanation:

19/20 = 0.95 is the smallest.

51.

Out of 2/13, 3/19, 1/6, 4/27, which is the largest?

  1. A. 4/27
  2. B. 3/19
  3. C. 2/13
  4. D. 1/6

Answer: Option D

Explanation:

2/13 = 0.154, 3/19 = 0.158, 1/6 = 0.167, 4/27 = 0.148.

52.

Out of 5/17, 4/13, 3/11, 7/23, which is the largest?

  1. A. 4/13
  2. B. 7/23
  3. C. 3/11
  4. D. 5/17

Answer: Option A

Explanation:

5/17 = 0.294, 4/13 = 0.308, 3/11 = 0.273, 7/23 = 0.304.

53.

Out of 6/7, 7/9, 8/11, 5/6, which is the smallest?

  1. A. 7/9
  2. B. 6/7
  3. C. 8/11
  4. D. 5/6

Answer: Option C

Explanation:

8/11 = 0.727 is the smallest.

54.

Out of 7/19, 5/13, 3/8, 9/25, which is the largest?

  1. A. 5/13
  2. B. 7/19
  3. C. 9/25
  4. D. 3/8

Answer: Option A

Explanation:

7/19 = 0.368, 5/13 = 0.385, 3/8 = 0.375, 9/25 = 0.36.

55.

Out of 2/7, 3/11, 4/15, 5/17, which is the smallest?

  1. A. 5/17
  2. B. 4/15
  3. C. 3/11
  4. D. 2/7

Answer: Option B

Explanation:

2/7 = 0.286, 3/11 = 0.273, 4/15 = 0.267, 5/17 = 0.294.

56.

If 3/5, 2/3, 4/7, 5/9, 7/10 are arranged in ascending order, which is third?

  1. A. 5/9
  2. B. 3/5
  3. C. 4/7
  4. D. 2/3

Answer: Option B

Explanation:

Order: 5/9 (0.556), 4/7 (0.571), 3/5 (0.6), 2/3, 7/10.

57.

If 1/3, 2/7, 3/8, 2/5, 4/11 are arranged in ascending order, which is second?

  1. A. 1/3
  2. B. 4/11
  3. C. 2/7
  4. D. 3/8

Answer: Option A

Explanation:

Order: 2/7 (0.286), 1/3 (0.333), 4/11 (0.364), 3/8, 2/5.

58.

If 5/6, 4/5, 7/9, 6/7, 9/11 are arranged in ascending order, which is fourth?

  1. A. 4/5
  2. B. 5/6
  3. C. 6/7
  4. D. 9/11

Answer: Option B

Explanation:

Order: 7/9, 4/5, 9/11, 5/6, 6/7.

59.

If 1/2, 5/9, 4/7, 3/5, 7/12 are arranged in ascending order, which is fourth?

  1. A. 4/7
  2. B. 3/5
  3. C. 7/12
  4. D. 5/9

Answer: Option C

Explanation:

Order: 1/2, 5/9, 4/7, 7/12 (0.583), 3/5 (0.6).

60.

If 2/9, 1/4, 3/13, 1/5, 2/7 are arranged in ascending order, which is third?

  1. A. 2/9
  2. B. 1/5
  3. C. 3/13
  4. D. 1/4

Answer: Option C

Explanation:

Order: 1/5 (0.2), 2/9 (0.222), 3/13 (0.231), 1/4, 2/7.

61.

Arrange 5/7, 7/9, 3/4 in ascending order.

  1. A. 7/9, 3/4, 5/7
  2. B. 3/4, 5/7, 7/9
  3. C. 5/7, 7/9, 3/4
  4. D. 5/7, 3/4, 7/9

Answer: Option D

Explanation:

0.714 < 0.75 < 0.778.

62.

Arrange 13/15, 11/13, 6/7 in ascending order.

  1. A. 13/15, 6/7, 11/13
  2. B. 11/13, 6/7, 13/15
  3. C. 11/13, 13/15, 6/7
  4. D. 6/7, 11/13, 13/15

Answer: Option B

Explanation:

0.846 < 0.857 < 0.867.

63.

Arrange 2/5, 3/7, 5/12 in ascending order.

  1. A. 2/5, 5/12, 3/7
  2. B. 5/12, 2/5, 3/7
  3. C. 2/5, 3/7, 5/12
  4. D. 3/7, 5/12, 2/5

Answer: Option A

Explanation:

0.4 < 0.417 < 0.429.

64.

Arrange 17/20, 7/8, 6/7 in ascending order.

  1. A. 17/20, 7/8, 6/7
  2. B. 7/8, 6/7, 17/20
  3. C. 6/7, 17/20, 7/8
  4. D. 17/20, 6/7, 7/8

Answer: Option D

Explanation:

0.85 < 0.857 < 0.875.

65.

Arrange 4/9, 5/11, 3/7 in ascending order.

  1. A. 5/11, 4/9, 3/7
  2. B. 4/9, 3/7, 5/11
  3. C. 3/7, 4/9, 5/11
  4. D. 3/7, 5/11, 4/9

Answer: Option C

Explanation:

0.429 < 0.444 < 0.455.

66.

Which of 7/11, 9/14, 5/8, 2/3 is the smallest?

  1. A. 5/8
  2. B. 9/14
  3. C. 2/3
  4. D. 7/11

Answer: Option A

Explanation:

7/11 = 0.636, 9/14 = 0.643, 5/8 = 0.625, 2/3 = 0.667.

67.

Which of 11/15, 8/11, 13/18, 3/4 is the smallest?

  1. A. 11/15
  2. B. 13/18
  3. C. 8/11
  4. D. 3/4

Answer: Option B

Explanation:

11/15 = 0.733, 8/11 = 0.727, 13/18 = 0.722, 3/4 = 0.75.

68.

Which of 3/7, 5/11, 7/16, 4/9 is the greatest?

  1. A. 7/16
  2. B. 5/11
  3. C. 3/7
  4. D. 4/9

Answer: Option B

Explanation:

3/7 = 0.429, 5/11 = 0.455, 7/16 = 0.4375, 4/9 = 0.444.

69.

Which of 19/23, 14/17, 9/11, 5/6 is the smallest?

  1. A. 19/23
  2. B. 9/11
  3. C. 5/6
  4. D. 14/17

Answer: Option B

Explanation:

19/23 = 0.826, 14/17 = 0.824, 9/11 = 0.818, 5/6 = 0.833.

70.

Which of 4/15, 3/11, 5/19, 2/7 is the greatest?

  1. A. 3/11
  2. B. 2/7
  3. C. 4/15
  4. D. 5/19

Answer: Option B

Explanation:

4/15 = 0.267, 3/11 = 0.273, 5/19 = 0.263, 2/7 = 0.286.

71.

Which fraction is greater than 1/2 and less than 2/3?

  1. A. 3/5
  2. B. 3/4
  3. C. 1/3
  4. D. 5/7

Answer: Option A

Explanation:

0.5 < 0.6 < 0.667.

72.

Which fraction is greater than 2/5 and less than 1/2?

  1. A. 4/9
  2. B. 1/3
  3. C. 5/9
  4. D. 3/10

Answer: Option A

Explanation:

0.4 < 0.444 < 0.5.

73.

Which fraction is greater than 5/8 and less than 3/4?

  1. A. 4/5
  2. B. 3/5
  3. C. 7/10
  4. D. 5/9

Answer: Option C

Explanation:

0.625 < 0.7 < 0.75.

74.

Which fraction is greater than 1/3 and less than 3/8?

  1. A. 3/7
  2. B. 2/7
  3. C. 2/5
  4. D. 5/14

Answer: Option D

Explanation:

0.333 < 0.357 < 0.375.

75.

Which fraction is greater than 6/7 and less than 9/10?

  1. A. 5/6
  2. B. 10/11
  3. C. 7/8
  4. D. 11/12

Answer: Option C

Explanation:

0.857 < 0.875 < 0.9.

76.

Which fraction is less than 4/5 and greater than 1/2?

  1. A. 1/3
  2. B. 5/6
  3. C. 5/8
  4. D. 9/10

Answer: Option C

Explanation:

0.5 < 0.625 < 0.8.

77.

Which fraction is less than 2/3 and greater than 1/4?

  1. A. 3/4
  2. B. 1/5
  3. C. 11/12
  4. D. 7/12

Answer: Option D

Explanation:

0.25 < 0.583 < 0.667.

78.

Which fraction is less than 5/9 and greater than 1/3?

  1. A. 3/7
  2. B. 2/3
  3. C. 7/9
  4. D. 1/4

Answer: Option A

Explanation:

0.333 < 0.429 < 0.556.

79.

Which fraction is less than 9/10 and greater than 3/5?

  1. A. 11/20
  2. B. 19/20
  3. C. 4/5
  4. D. 1/2

Answer: Option C

Explanation:

0.6 < 0.8 < 0.9.

80.

Which fraction is less than 1/2 and greater than 1/5?

  1. A. 3/5
  2. B. 3/10
  3. C. 1/6
  4. D. 7/8

Answer: Option B

Explanation:

0.2 < 0.3 < 0.5.

81.

Which number does NOT lie between 1/3 and 3/4?

  1. A. 2/3
  2. B. 3/5
  3. C. 4/5
  4. D. 1/2

Answer: Option C

Explanation:

4/5 = 0.8 is greater than 0.75.

82.

Which number does NOT lie between 2/5 and 5/6?

  1. A. 1/2
  2. B. 3/4
  3. C. 1/3
  4. D. 4/5

Answer: Option C

Explanation:

1/3 = 0.333 is less than 0.4.

83.

Which number does NOT lie between 3/8 and 7/9?

  1. A. 2/3
  2. B. 3/4
  3. C. 1/2
  4. D. 5/6

Answer: Option D

Explanation:

5/6 = 0.833 is greater than 0.778.

84.

Which number does NOT lie between 1/4 and 5/7?

  1. A. 3/4
  2. B. 2/3
  3. C. 1/3
  4. D. 1/2

Answer: Option A

Explanation:

3/4 = 0.75 is greater than 0.714.

85.

Which number does NOT lie between 2/3 and 9/10?

  1. A. 4/5
  2. B. 3/4
  3. C. 7/11
  4. D. 5/6

Answer: Option C

Explanation:

7/11 = 0.636 is less than 0.667.