Fraction Test Fraction Comparison and Ordering 1 — Questions and Answers
Question 1: Which fraction is greater: 3/4 or 5/8?
- 3/4 (Correct answer)
- 5/8
- They are equal
- Cannot be determined
Correct answer: 3/4
Converting to a common denominator: 3/4 = 6/8, which is greater than 5/8.
Question 2: Arrange in ascending order: 1/2, 1/3, 1/4
- 1/4, 1/3, 1/2 (Correct answer)
- 1/2, 1/3, 1/4
- 1/3, 1/4, 1/2
- 1/4, 1/2, 1/3
Correct answer: 1/4, 1/3, 1/2
With the same numerator, a larger denominator means a smaller fraction, so 1/4 < 1/3 < 1/2.
Question 3: Which symbol correctly compares 7/10 and 2/3?
- 7/10 > 2/3 (Correct answer)
- 7/10 < 2/3
- 7/10 = 2/3
- 7/10 ≥ 2/3
Correct answer: 7/10 > 2/3
7/10 = 21/30 and 2/3 = 20/30, so 7/10 > 2/3.
Question 4: Which fraction is closest to 1?
- 8/9 (Correct answer)
- 7/8
- 5/6
- 3/4
Correct answer: 8/9
8/9 ≈ 0.889, which is the largest value and closest to 1 among the options.
Question 5: Which of the following fractions is between 1/2 and 3/4?
- 5/8 (Correct answer)
- 1/3
- 7/8
- 1/4
Correct answer: 5/8
5/8 = 0.625, which falls between 1/2 (0.5) and 3/4 (0.75).
Question 6: Which list shows fractions in descending order?
- 5/6, 3/4, 2/3 (Correct answer)
- 2/3, 3/4, 5/6
- 3/4, 5/6, 2/3
- 5/6, 2/3, 3/4
Correct answer: 5/6, 3/4, 2/3
5/6 ≈ 0.833, 3/4 = 0.75, 2/3 ≈ 0.667, confirming descending order.
Which fraction is greater: 3/4 or 5/8?