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SSAT Middle Level Math : How to add 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 #31 : Build Fractions From Unit Fractions

$18\frac{4}{12}$ is equal to which of the options below?

Possible Answers:

$13\frac{1}{12}+5\frac{3}{12}$

$13\frac{3}{12}+5\frac{3}{12}$

$13\frac{2}{12}+5\frac{3}{12}$

$14\frac{2}{12}+5\frac{3}{12}$

$13\frac{3}{12}+7\frac{3}{12}$

Correct answer:

$13\frac{1}{12}+5\frac{3}{12}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{1}{12}+5\frac{3}{12}=18\frac{4}{12}$

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Example Question #31 : Build Fractions From Unit Fractions

$11\frac{7}{12}$ is equal to which of the options below?

Possible Answers:

$5\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{3}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{1}{12}+4\frac{5}{12}$

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{1}{12}+6\frac{4}{12}$

Correct answer:

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}=11\frac{7}{12}$

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Example Question #32 : Build Fractions From Unit Fractions

$36\frac{11}{12}$ is equal to which of the options below?

Possible Answers:

$15\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+11\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$15\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

Correct answer:

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}=36\frac{11}{12}$

Report an Error

Example Question #33 : Build Fractions From Unit Fractions

$16\frac{8}{12}$ is equal to which of the options below?

Possible Answers:

$7\frac{3}{12}+4\frac{2}{12}+4\frac{3}{12}$

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$7\frac{1}{12}+4\frac{2}{12}+4\frac{3}{12}$

$8\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$8\frac{3}{12}+4\frac{3}{12}+5\frac{3}{12}$

Correct answer:

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}=16\frac{8}{12}$

Report an Error

Example Question #34 : Build Fractions From Unit Fractions

$25\frac{13}{14}$ is equal to which of the options below?

Possible Answers:

$13\frac{9}{14}+12\frac{4}{14}$

$13\frac{10}{14}+12\frac{4}{14}$

$11\frac{9}{14}+12\frac{4}{14}$

$13\frac{9}{14}+12\frac{6}{14}$

$13\frac{9}{14}+14\frac{4}{14}$

Correct answer:

$13\frac{9}{14}+12\frac{4}{14}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{9}{14}+12\frac{4}{14}=25\frac{13}{14}$

Report an Error

Example Question #35 : Build Fractions From Unit Fractions

$28\frac{7}{14}$ is equal to which of the options below?

Possible Answers:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

$13\frac{2}{14}+6\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+12\frac{2}{14}+6\frac{3}{14}$

$11\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

Correct answer:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers, and fractions to fractions.

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}=28\frac{7}{14}$

Report an Error

Example Question #151 : How To Add Fractions

$6\frac{1}{4}+13\frac{1}{4}$

Possible Answers:

$18\frac{2}{4}$

$19\frac{1}{4}$

$19\frac{2}{4}$

$18\frac{1}{4}$

$18\frac{3}{4}$

Correct answer:

$19\frac{2}{4}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

6+13=19

$\frac{1}{4}+\frac{1}{4}=\frac{2}{4}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #9 : Adding Mixed Numbers

$5\frac{1}{5}+11\frac{2}{5}$

Possible Answers:

$16\frac{3}{5}$

$17\frac{3}{5}$

$16\frac{2}{5}$

$17\frac{2}{5}$

$16\frac{4}{5}$

Correct answer:

$16\frac{3}{5}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

5+11=16

$\frac{1}{5}+\frac{2}{5}=\frac{3}{5}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #10 : Adding Mixed Numbers

$13\frac{1}{3}+7\frac{1}{3}$

Possible Answers:

$22\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$20\frac{2}{3}$

$19\frac{2}{3}$

Correct answer:

$20\frac{2}{3}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

13+7=20

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

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

Example Question #11 : Adding Mixed Numbers

$14\frac{3}{10}+21\frac{4}{10}$

Possible Answers:

$36\frac{6}{10}$

$35\frac{8}{10}$

$35\frac{6}{10}$

$35\frac{7}{10}$

$36\frac{8}{10}$

Correct answer:

$35\frac{7}{10}$

Explanation:

When we add mixed numbers, we add whole numbers to whole numbers and fractions to fractions.

14+21=35

$\frac{3}{10}+\frac{4}{10}=\frac{7}{10}$

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

Report an Error

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SSAT Middle Level Math : How to add fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #31 : Build Fractions From Unit Fractions

Example Question #31 : Build Fractions From Unit Fractions

Example Question #32 : Build Fractions From Unit Fractions

Example Question #33 : Build Fractions From Unit Fractions

Example Question #34 : Build Fractions From Unit Fractions

Example Question #35 : Build Fractions From Unit Fractions

Example Question #151 : How To Add Fractions

Example Question #9 : Adding Mixed Numbers

Example Question #10 : Adding Mixed Numbers

Example Question #11 : Adding Mixed Numbers

All SSAT Middle Level Math Resources

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