ACT Math Practice Test And Review Question Answers 2022

Which of the following is the correct ascending order of the numbers 1/2, 5/6, and 5/8?

1/2 < 5/8 < 5/6 5/6 < 1/2 < 5/8 5/6 < 5/8 < 1/2 5/8 < 1/2 < 5/6

Correct Answer:

1/2 < 5/8 < 5/6

Explanation:

This question tests ordering fractions from smallest to largest. To compare fractions with different denominators, you can use cross-multiplication: for two fractions a/b and c/d, a/b < c/d if a*d < c*b. First compare 1/2 and 5/8. Multiply crosswise: 1*8 = 8 and 2*5 = 10. Since 8 < 10, 1/2 is smaller than 5/8. Next compare 5/8 and 5/6. Cross-multiply: 5*6 = 30 and 5*8 = 40. Since 30 < 40, 5/8 is smaller than 5/6. Putting these together from smallest to largest gives 1/2 < 5/8 < 5/6.

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