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SSAT Middle Level Math : How to add fractions

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Example Questions

Example Question #19 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

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

Possible Answers:

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

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

$\frac{4}{12}+\frac{4}{12}$ $\displaystyle \frac{4}{12}+\frac{4}{12}$

$\frac{3}{12}+\frac{3}{12}$ $\displaystyle \frac{3}{12}+\frac{3}{12}$

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}$ $\displaystyle \frac{3}{12}+\frac{1}{12}+\frac{4}{12}$

Correct answer:

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

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{3}{12}+\frac{4}{12}+\frac{4}{12}=\frac{11}{12}$ $\displaystyle \frac{3}{12}+\frac{4}{12}+\frac{4}{12}=\frac{11}{12}$

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Example Question #141 : How To Add Fractions

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

Possible Answers:

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

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

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}$ $\displaystyle \frac{3}{12}+\frac{1}{12}+\frac{4}{12}$

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

$\frac{3}{12}+\frac{1}{12}$ $\displaystyle \frac{3}{12}+\frac{1}{12}$

Correct answer:

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}$ $\displaystyle \frac{3}{12}+\frac{1}{12}+\frac{4}{12}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}=\frac{8}{12}$ $\displaystyle \frac{3}{12}+\frac{1}{12}+\frac{4}{12}=\frac{8}{12}$

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Example Question #142 : How To Add Fractions

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

Possible Answers:

$\frac{7}{14}+\frac{6}{14}+\frac{1}{14}$ $\displaystyle \frac{7}{14}+\frac{6}{14}+\frac{1}{14}$

$\frac{7}{14}+\frac{6}{14}$ $\displaystyle \frac{7}{14}+\frac{6}{14}$

$\frac{7}{14}+\frac{5}{14}$ $\displaystyle \frac{7}{14}+\frac{5}{14}$

$\frac{6}{14}+\frac{6}{14}$ $\displaystyle \frac{6}{14}+\frac{6}{14}$

$\frac{7}{14}+\frac{7}{14}$ $\displaystyle \frac{7}{14}+\frac{7}{14}$

Correct answer:

$\frac{7}{14}+\frac{6}{14}$ $\displaystyle \frac{7}{14}+\frac{6}{14}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{7}{14}+\frac{6}{14}=\frac{13}{14}$ $\displaystyle \frac{7}{14}+\frac{6}{14}=\frac{13}{14}$

Report an Error

Example Question #23 : Build Fractions From Unit Fractions

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

Possible Answers:

$\frac{2}{14}+\frac{1}{14}+\frac{5}{14}$ $\displaystyle \frac{2}{14}+\frac{1}{14}+\frac{5}{14}$

$\frac{5}{14}+\frac{1}{14}+\frac{4}{14}$ $\displaystyle \frac{5}{14}+\frac{1}{14}+\frac{4}{14}$

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}$ $\displaystyle \frac{2}{14}+\frac{1}{14}+\frac{4}{14}$

$\frac{2}{14}+\frac{3}{14}+\frac{4}{14}$ $\displaystyle \frac{2}{14}+\frac{3}{14}+\frac{4}{14}$

$\frac{2}{14}+\frac{1}{14}+\frac{2}{14}$ $\displaystyle \frac{2}{14}+\frac{1}{14}+\frac{2}{14}$

Correct answer:

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}$ $\displaystyle \frac{2}{14}+\frac{1}{14}+\frac{4}{14}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}=\frac{7}{14}$ $\displaystyle \frac{2}{14}+\frac{1}{14}+\frac{4}{14}=\frac{7}{14}$

Report an Error

Example Question #23 : Build Fractions From Unit Fractions

$\frac{5}{8}$ $\displaystyle \frac{5}{8}$ is equal to which of the options below?

Possible Answers:

$\frac{2}{8}+\frac{2}{8}$ $\displaystyle \frac{2}{8}+\frac{2}{8}$

$\frac{2}{8}+\frac{1}{8}$ $\displaystyle \frac{2}{8}+\frac{1}{8}$

$\frac{7}{8}+\frac{1}{8}$ $\displaystyle \frac{7}{8}+\frac{1}{8}$

$\frac{5}{8}+\frac{2}{8}$ $\displaystyle \frac{5}{8}+\frac{2}{8}$

$\frac{1}{8}+\frac{2}{8}+\frac{2}{8}$ $\displaystyle \frac{1}{8}+\frac{2}{8}+\frac{2}{8}$

Correct answer:

$\frac{1}{8}+\frac{2}{8}+\frac{2}{8}$ $\displaystyle \frac{1}{8}+\frac{2}{8}+\frac{2}{8}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{8}+\frac{2}{8}+\frac{2}{8}=\frac{5}{8}$ $\displaystyle \frac{1}{8}+\frac{2}{8}+\frac{2}{8}=\frac{5}{8}$

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Example Question #25 : Build Fractions From Unit Fractions

$4\frac{3}{8}$ $\displaystyle 4\frac{3}{8}$ is equal to which of the options below?

Possible Answers:

$1\frac{2}{8}+2\frac{1}{8}$ $\displaystyle 1\frac{2}{8}+2\frac{1}{8}$

$2\frac{2}{8}+2\frac{2}{8}$ $\displaystyle 2\frac{2}{8}+2\frac{2}{8}$

$2\frac{3}{8}+2\frac{1}{8}$ $\displaystyle 2\frac{3}{8}+2\frac{1}{8}$

$2\frac{2}{8}+2\frac{1}{8}$ $\displaystyle 2\frac{2}{8}+2\frac{1}{8}$

$2\frac{2}{8}+3\frac{1}{8}$ $\displaystyle 2\frac{2}{8}+3\frac{1}{8}$

Correct answer:

$2\frac{2}{8}+2\frac{1}{8}$ $\displaystyle 2\frac{2}{8}+2\frac{1}{8}$

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.

$2\frac{2}{8}+2\frac{1}{8}=4\frac{3}{8}$ $\displaystyle 2\frac{2}{8}+2\frac{1}{8}=4\frac{3}{8}$

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Example Question #26 : Build Fractions From Unit Fractions

$7\frac{7}{9}$ $\displaystyle 7\frac{7}{9}$ is equal to which of the options below?

Possible Answers:

$3\frac{2}{9}+4\frac{5}{9}$ $\displaystyle 3\frac{2}{9}+4\frac{5}{9}$

$3\frac{1}{9}+4\frac{5}{9}$ $\displaystyle 3\frac{1}{9}+4\frac{5}{9}$

$3\frac{2}{9}+4\frac{6}{9}$ $\displaystyle 3\frac{2}{9}+4\frac{6}{9}$

$3\frac{2}{9}+4\frac{5}{9}+\frac{1}{9}$ $\displaystyle 3\frac{2}{9}+4\frac{5}{9}+\frac{1}{9}$

$4\frac{2}{9}+4\frac{5}{9}$ $\displaystyle 4\frac{2}{9}+4\frac{5}{9}$

Correct answer:

$3\frac{2}{9}+4\frac{5}{9}$ $\displaystyle 3\frac{2}{9}+4\frac{5}{9}$

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.

$3\frac{2}{9}+4\frac{5}{9}=7\frac{7}{9}$ $\displaystyle 3\frac{2}{9}+4\frac{5}{9}=7\frac{7}{9}$

Report an Error

Example Question #27 : Build Fractions From Unit Fractions

$11\frac{5}{8}$ $\displaystyle 11\frac{5}{8}$ is equal to which of the options below?

Possible Answers:

$4\frac{1}{8}+2\frac{2}{8}+6\frac{2}{8}$ $\displaystyle 4\frac{1}{8}+2\frac{2}{8}+6\frac{2}{8}$

$4\frac{1}{8}+1\frac{2}{8}+6\frac{3}{8}$ $\displaystyle 4\frac{1}{8}+1\frac{2}{8}+6\frac{3}{8}$

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$ $\displaystyle 4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$

$4\frac{2}{8}+1\frac{2}{8}+6\frac{2}{8}$ $\displaystyle 4\frac{2}{8}+1\frac{2}{8}+6\frac{2}{8}$

$4\frac{1}{8}+1\frac{2}{8}+5\frac{2}{8}$ $\displaystyle 4\frac{1}{8}+1\frac{2}{8}+5\frac{2}{8}$

Correct answer:

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$ $\displaystyle 4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$

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.

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}=11\frac{5}{8}$ $\displaystyle 4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}=11\frac{5}{8}$

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Example Question #111 : Number & Operations: Fractions

$21\frac{7}{8}$ $\displaystyle 21\frac{7}{8}$ is equal to which of the options below?

Possible Answers:

$7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$ $\displaystyle 7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$

$9\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$ $\displaystyle 9\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$

$7\frac{2}{8}+8\frac{1}{8}+7\frac{4}{8}$ $\displaystyle 7\frac{2}{8}+8\frac{1}{8}+7\frac{4}{8}$

$7\frac{2}{8}+6\frac{1}{8}+7\frac{4}{8}$ $\displaystyle 7\frac{2}{8}+6\frac{1}{8}+7\frac{4}{8}$

$7\frac{2}{8}+5\frac{1}{8}+5\frac{4}{8}$ $\displaystyle 7\frac{2}{8}+5\frac{1}{8}+5\frac{4}{8}$

Correct answer:

$7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$ $\displaystyle 7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$

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.

$7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}=21\frac{7}{8}$ $\displaystyle 7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}=21\frac{7}{8}$

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Example Question #112 : Number & Operations: Fractions

$14\frac{6}{10}$ $\displaystyle 14\frac{6}{10}$ is equal to which of the options below?

Possible Answers:

$3\frac{2}{10}+6\frac{2}{10}+6\frac{2}{10}$ $\displaystyle 3\frac{2}{10}+6\frac{2}{10}+6\frac{2}{10}$

$3\frac{1}{10}+6\frac{2}{10}+5\frac{2}{10}$ $\displaystyle 3\frac{1}{10}+6\frac{2}{10}+5\frac{2}{10}$

$3\frac{1}{10}+6\frac{2}{10}+6\frac{2}{10}$ $\displaystyle 3\frac{1}{10}+6\frac{2}{10}+6\frac{2}{10}$

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$ $\displaystyle 3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$

$3\frac{2}{10}+6\frac{3}{10}+5\frac{2}{10}$ $\displaystyle 3\frac{2}{10}+6\frac{3}{10}+5\frac{2}{10}$

Correct answer:

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$ $\displaystyle 3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$

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.

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}=14\frac{6}{10}$ $\displaystyle 3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}=14\frac{6}{10}$

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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 #19 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #141 : How To Add Fractions

Example Question #142 : How To Add Fractions

Example Question #23 : Build Fractions From Unit Fractions

Example Question #23 : Build Fractions From Unit Fractions

Example Question #25 : Build Fractions From Unit Fractions

Example Question #26 : Build Fractions From Unit Fractions

Example Question #27 : Build Fractions From Unit Fractions

Example Question #111 : Number & Operations: Fractions

Example Question #112 : Number & Operations: Fractions

All SSAT Middle Level Math Resources

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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 #19 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #141 : How To Add Fractions

Example Question #142 : How To Add Fractions

Example Question #23 : Build Fractions From Unit Fractions

Example Question #23 : Build Fractions From Unit Fractions

Example Question #25 : Build Fractions From Unit Fractions

Example Question #26 : Build Fractions From Unit Fractions

Example Question #27 : Build Fractions From Unit Fractions

Example Question #111 : Number & Operations: Fractions

Example Question #112 : Number & Operations: Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

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Example Question #111 : Number & Operations: Fractions

Example Question #112 : Number & Operations: Fractions