Equivalent Fractions

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SSAT Middle Level: Quantitative › Equivalent Fractions

Questions 1 - 10
1

Identify the fraction equivalent to $\dfrac{7}{8}$.

$\dfrac{14}{16}$

$\dfrac{7}{16}$

$\dfrac{8}{7}$

$\dfrac{15}{16}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students identify the fraction equivalent to 7/8, such as 14/16. The correct answer is valid because multiplying both the numerator and denominator of 7/8 by 2 gives 14/16. A common mistake, as seen in choice C, is to invert to 8/7, which is greater than 1. To help students, teach cross-multiplication for verification. Practice with pie charts can build intuition for equivalence.

2

What is $\dfrac{4}{5}$ equivalent to with denominator $20$?

$\dfrac{12}{20}$

$\dfrac{8}{20}$

$\dfrac{20}{4}$

$\dfrac{16}{20}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students must find what 4/5 is equivalent to with denominator 20, which is 16/20. The correct answer is valid because multiplying both the numerator and denominator of 4/5 by 4 results in 16/20. A common mistake, as seen in choice A, is to multiply incorrectly, getting 12/20 which is 3/5. To help students, remind them to calculate the multiplier as target denominator divided by original. Encourage drawing models to visualize the fractions.

3

Select the fraction equivalent to $\dfrac{1}{2}$.

$\dfrac{3}{6}$

$\dfrac{2}{1}$

$\dfrac{2}{5}$

$\dfrac{1}{4}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students must select the fraction equivalent to 1/2, such as 3/6. The correct answer is valid because multiplying both the numerator and denominator of 1/2 by 3 results in 3/6, which is equivalent. A common mistake, as seen in choice D, is to invert the fraction to 2/1, which is not equivalent. To help students, encourage checking by simplifying fractions to their lowest terms. Practice with number lines can reinforce understanding of equivalence.

4

Which fraction is equivalent to $\dfrac{3}{4}$?

$\dfrac{6}{8}$

$\dfrac{6}{7}$

$\dfrac{3}{8}$

$\dfrac{4}{3}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students are presented with the fraction 3/4 and must identify another fraction that has the same value, such as 6/8. The correct answer is valid because multiplying both the numerator and denominator of 3/4 by 2 results in 6/8, which is equivalent. A common mistake, as seen in choice A, is to select a fraction like 6/7, which does not maintain the same proportion. To help students, teach them to cross-multiply to check equivalency or use visual aids like pie charts. Remind them to ensure both parts of the fraction are adjusted by the same factor.

5

Which fraction is equivalent to $\dfrac{5}{6}$?

$\dfrac{5}{12}$

$\dfrac{10}{12}$

$\dfrac{6}{5}$

$\dfrac{10}{11}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students find which fraction is equivalent to 5/6, such as 10/12. The correct answer is valid because multiplying both the numerator and denominator of 5/6 by 2 results in 10/12. A common mistake, as seen in choice B, is to invert to 6/5, which is improper. To help students, encourage simplifying both fractions to check. Use number lines to show they represent the same point.

6

Which fraction is equivalent to $\dfrac{6}{7}$?

$\dfrac{13}{14}$

$\dfrac{6}{14}$

$\dfrac{7}{6}$

$\dfrac{12}{14}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students find which fraction is equivalent to 6/7, such as 12/14. The correct answer is valid because multiplying both the numerator and denominator of 6/7 by 2 results in 12/14. A common mistake, as seen in choice C, is to invert to 7/6. To help students, use cross-multiplication to verify. Remind them to keep the same ratio.

7

Which fraction is equivalent to $\dfrac{2}{7}$?

$\dfrac{4}{12}$

$\dfrac{4}{14}$

$\dfrac{7}{2}$

$\dfrac{2}{14}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students find which fraction is equivalent to 2/7, such as 4/14. The correct answer is valid because multiplying both the numerator and denominator of 2/7 by 2 results in 4/14. A common mistake, as seen in choice D, is to invert to 7/2. To help students, teach verification by division. Use number lines for practice.

8

What is $\dfrac{3}{4}$ equivalent to with denominator $16$?

$\dfrac{12}{16}$

$\dfrac{6}{16}$

$\dfrac{16}{3}$

$\dfrac{9}{16}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students find what 3/4 is equivalent to with denominator 16, which is 12/16. The correct answer is valid because multiplying both the numerator and denominator of 3/4 by 4 gives 12/16. A common mistake, as seen in choice A, is to multiply incorrectly to 9/16. To help students, calculate the multiplier as 16 divided by 4. Visual aids like grids can help.

9

How can you express $\dfrac{5}{9}$ with denominator $27$?

$\dfrac{15}{27}$

$\dfrac{10}{27}$

$\dfrac{27}{5}$

$\dfrac{5}{27}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students express 5/9 with denominator 27, resulting in 15/27. The correct answer is valid because multiplying both the numerator and denominator of 5/9 by 3 gives 15/27. A common mistake, as seen in choice A, is to use the wrong factor, getting 10/27. To help students, show how to find the multiplier. Encourage fraction bar comparisons.

10

Select the fraction equivalent to $\dfrac{9}{10}$.

$\dfrac{9}{20}$

$\dfrac{17}{20}$

$\dfrac{10}{9}$

$\dfrac{18}{20}$

Explanation

This question tests SSAT Middle Level math skills, specifically finding equivalent fractions. Equivalent fractions are different fractions that represent the same value or proportion. They are found by multiplying or dividing both the numerator and denominator by the same number. In this problem, students select the fraction equivalent to 9/10, such as 18/20. The correct answer is valid because multiplying both the numerator and denominator of 9/10 by 2 gives 18/20. A common mistake, as seen in choice C, is to invert to 10/9. To help students, encourage decimal conversion for checks. Practice with area models can aid understanding.

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