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SSAT Middle Level Math : 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

Example Question #2 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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

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

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #7 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #1 : Build Fractions From Unit Fractions

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

Report an Error

Example Question #91 : How To Add Fractions

$\frac{3}{9}$ $\displaystyle \frac{3}{9}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}$

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

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

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

Correct answer:

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

Explanation:

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

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}=\frac{3}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}=\frac{3}{9}$

Report an Error

Example Question #2 : Build Fractions From Unit Fractions

$\frac{2}{10}$ $\displaystyle \frac{2}{10}$ is equal to which of the options below?

Possible Answers:

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

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

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

$\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}+\frac{1}{10}$

$\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}$

Correct answer:

$\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}$

Explanation:

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

$\frac{1}{10}+\frac{1}{10}=\frac{2}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}=\frac{2}{10}$

Report an Error

Example Question #11 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{12}$ $\displaystyle \frac{3}{12}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

Report an Error

Example Question #92 : How To Add Fractions

$\frac{2}{5}$ $\displaystyle \frac{2}{5}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

Report an Error

Example Question #1 : Adding Mixed Numbers

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

Possible Answers:

$5\frac{1}{10}$ $\displaystyle 5\frac{1}{10}$

$5\frac{2}{10}$ $\displaystyle 5\frac{2}{10}$

$5\frac{3}{10}$ $\displaystyle 5\frac{3}{10}$

$5\frac{1}{5}$ $\displaystyle 5\frac{1}{5}$

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

Correct answer:

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

Explanation:

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

4+1=5 $\displaystyle 4+1=5$

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

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

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SSAT Middle Level Math : Fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #2 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

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

Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #7 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #1 : Build Fractions From Unit Fractions

Example Question #91 : How To Add Fractions

Example Question #2 : Build Fractions From Unit Fractions

Example Question #11 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #92 : How To Add Fractions

Example Question #1 : Adding Mixed Numbers

All SSAT Middle Level Math Resources

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