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SSAT Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #24 : Subtracting Fractions

Select the fraction model that shows the difference of $\frac{12}{12}-\frac{3}{12}$

Possible Answers:

8 12

9 12

7 12

6 12

5 12

Correct answer:

9 12

Explanation:

$\frac{12}{12}-\frac{3}{12}=\frac{9}{12}$

The fraction model is broken up into twelve pieces and nine of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #1 : Subtracting Mixed Numbers

$17\frac{1}{2}-7\frac{1}{2}$

Possible Answers:

$10\frac{1}{2}$

$24\frac{2}{2}$

$7\frac{2}{2}$

Correct answer:

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

17-7=10

$\frac{1}{2}-\frac{1}{2}=0$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #2 : Subtracting Mixed Numbers

$18\frac{3}{4}-7\frac{2}{4}$

Possible Answers:

$11\frac{1}{4}$

$15\frac{5}{4}$

$11\frac{2}{4}$

$9\frac{2}{4}$

$9\frac{1}{4}$

Correct answer:

$11\frac{1}{4}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

18-7=11

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #3 : Subtracting Mixed Numbers

$15\frac{2}{3}-8\frac{1}{3}$

Possible Answers:

$23\frac{3}{3}$

$8\frac{1}{3}$

$23\frac{1}{3}$

$7\frac{1}{3}$

$9\frac{1}{3}$

Correct answer:

$7\frac{1}{3}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

15-8=7

$\frac{2}{3}-\frac{1}{3}=\frac{1}{3}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #4 : Subtracting Mixed Numbers

$12\frac{4}{5}-12\frac{2}{5}$

Possible Answers:

$\frac{2}{5}$

$\frac{3}{5}$

$1\frac{2}{5}$

$24\frac{6}{5}$

$1\frac{3}{5}$

Correct answer:

$\frac{2}{5}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

12-12=0

$\frac{4}{5}-\frac{2}{5}=\frac{2}{5}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #1611 : Ssat Middle Level Quantitative (Math)

$12\frac{7}{12}-4\frac{2}{12}$

Possible Answers:

$9\frac{4}{12}$

$8\frac{4}{12}$

$8\frac{5}{12}$

$9\frac{5}{12}$

$10\frac{5}{12}$

Correct answer:

$8\frac{5}{12}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

12-4=8

$\frac{7}{12}-\frac{2}{12}=\frac{5}{12}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #6 : Subtracting Mixed Numbers

$27\frac{9}{12}-9\frac{2}{12}$

Possible Answers:

$17\frac{7}{12}$

$16\frac{7}{12}$

$15\frac{7}{12}$

$19\frac{7}{12}$

$18\frac{7}{12}$

Correct answer:

$18\frac{7}{12}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

27-9=18

$\frac{9}{12}-\frac{2}{12}=\frac{7}{12}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #221 : Build Fractions From Unit Fractions

$14\frac{6}{11}-5\frac{2}{11}$

Possible Answers:

$7\frac{4}{11}$

$8\frac{4}{11}$

$18\frac{7}{11}$

$19\frac{8}{11}$

$9\frac{4}{11}$

Correct answer:

$9\frac{4}{11}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

14-5=9

$\frac{6}{11}-\frac{2}{11}=\frac{4}{11}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #9 : Subtracting Mixed Numbers

$27\frac{4}{5}-13\frac{1}{5}$

Possible Answers:

$14\frac{3}{5}$

$40\frac{5}{5}$

$14\frac{2}{5}$

$14\frac{4}{5}$

$40\frac{2}{5}$

Correct answer:

$14\frac{3}{5}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

27-13=14

$\frac{4}{5}-\frac{1}{5}=\frac{3}{5}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #10 : Subtracting Mixed Numbers

$36\frac{3}{4}-16\frac{2}{4}$

Possible Answers:

$19\frac{1}{4}$

$20\frac{1}{4}$

$20\frac{2}{4}$

$19\frac{2}{4}$

$52\frac{6}{4}$

Correct answer:

$20\frac{1}{4}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

36-16=20

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators. n

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SSAT Middle Level Math : How to subtract fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #24 : Subtracting Fractions

Example Question #1 : Subtracting Mixed Numbers

Example Question #2 : Subtracting Mixed Numbers

Example Question #3 : Subtracting Mixed Numbers

Example Question #4 : Subtracting Mixed Numbers

Example Question #1611 : Ssat Middle Level Quantitative (Math)

Example Question #6 : Subtracting Mixed Numbers

Example Question #221 : Build Fractions From Unit Fractions

Example Question #9 : Subtracting Mixed Numbers

Example Question #10 : Subtracting Mixed Numbers

All SSAT Middle Level Math Resources

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