Equivalent Fractions
Help Questions
SSAT Middle Level: Quantitative › Equivalent Fractions
Which fraction is equivalent to $\dfrac{3}{4}$?
$\dfrac{3}{8}$
$\dfrac{6}{7}$
$\dfrac{4}{3}$
$\dfrac{6}{8}$
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.
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.
Select the fraction equivalent to $\dfrac{9}{10}$.
$\dfrac{10}{9}$
$\dfrac{18}{20}$
$\dfrac{9}{20}$
$\dfrac{17}{20}$
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.
Select the fraction equivalent to $\dfrac{5}{8}$.
$\dfrac{10}{16}$
$\dfrac{5}{16}$
$\dfrac{8}{5}$
$\dfrac{9}{16}$
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 select the fraction equivalent to 5/8, such as 10/16. The correct answer is valid because multiplying both the numerator and denominator of 5/8 by 2 gives 10/16. A common mistake, as seen in choice C, is to invert to 8/5. To help students, encourage simplifying to check. Practice with pie models.
How can you express $\dfrac{3}{5}$ with denominator $15$?
$\dfrac{9}{15}$
$\dfrac{15}{3}$
$\dfrac{3}{15}$
$\dfrac{6}{15}$
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 3/5 with denominator 15, resulting in 9/15. The correct answer is valid because multiplying both the numerator and denominator of 3/5 by 3 gives 9/15. A common mistake, as seen in choice A, is to use the wrong multiplier, getting 6/15 which is 2/5. To help students, show how to divide denominators to find the factor. Encourage practice with fraction strips.
How can you express $\dfrac{1}{4}$ with denominator $12$?
$\dfrac{4}{12}$
$\dfrac{2}{12}$
$\dfrac{3}{12}$
$\dfrac{12}{4}$
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 express 1/4 with denominator 12, resulting in 3/12. The correct answer is valid because multiplying both the numerator and denominator of 1/4 by 3 gives 3/12. A common mistake, as seen in choice C, is to multiply to 4/12, which is 1/3. To help students, teach finding the factor by division. Use fraction circles for hands-on learning.
Which fraction is equivalent to $\dfrac{7}{10}$?
$\dfrac{7}{20}$
$\dfrac{14}{25}$
$\dfrac{14}{20}$
$\dfrac{10}{7}$
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 7/10, such as 14/20. The correct answer is valid because multiplying both the numerator and denominator of 7/10 by 2 results in 14/20. A common mistake, as seen in choice C, is to invert to 10/7. To help students, use decimal equivalents for verification. Remind them to maintain the ratio.
Identify the fraction equivalent to $\dfrac{8}{9}$.
$\dfrac{16}{18}$
$\dfrac{9}{8}$
$\dfrac{8}{18}$
$\dfrac{17}{18}$
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 8/9, such as 16/18. The correct answer is valid because multiplying both the numerator and denominator of 8/9 by 2 gives 16/18. A common mistake, as seen in choice C, is to invert to 9/8. To help students, cross-multiply to confirm. Encourage practice with various denominators.
Identify the fraction equivalent to $\dfrac{4}{9}$.
$\dfrac{8}{18}$
$\dfrac{4}{18}$
$\dfrac{7}{18}$
$\dfrac{9}{4}$
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 identify the fraction equivalent to 4/9, such as 8/18. The correct answer is valid because multiplying both the numerator and denominator of 4/9 by 2 gives 8/18. A common mistake, as seen in choice C, is to invert to 9/4. To help students, use cross-multiplication. Remind them of the equal ratio rule.
How can you express $\dfrac{2}{3}$ with denominator $12$?
$\dfrac{8}{12}$
$\dfrac{12}{2}$
$\dfrac{2}{12}$
$\dfrac{6}{12}$
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 need to express 2/3 with a denominator of 12, resulting in 8/12. The correct answer is valid because multiplying both the numerator and denominator of 2/3 by 4 gives 8/12. A common mistake, as seen in choice B, is to use the wrong multiplier, like multiplying by 3 to get 6/12, which is actually 1/2. To help students, teach them to find the multiplier by dividing the target denominator by the original. Use visual aids like fraction bars to confirm equivalence.