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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

Example Question #1 : Adding Mixed Numbers

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

Possible Answers:

$5\frac{1}{5}$

$5\frac{2}{10}$

$5\frac{2}{5}$

$5\frac{1}{10}$

$5\frac{3}{10}$

Correct answer:

$5\frac{2}{5}$

Explanation:

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

4+1=5

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

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

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Example Question #2 : Adding Mixed Numbers

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

Possible Answers:

$7\frac{4}{5}$

$7\frac{7}{10}$

$7\frac{9}{10}$

$7\frac{3}{5}$

$7\frac{3}6{}$

Correct answer:

$7\frac{4}{5}$

Explanation:

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

2+5=7

$\frac{5}{10}+\frac{3}{10}=\frac{8}{10}$

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

$\frac{8}{10}$ can be reduced by dividing to both sides.

$\frac{8}{10}\div\frac{2}{2}=\frac{4}{5}$

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Example Question #3 : Adding Mixed Numbers

$3\frac{1}{5}+8\frac{2}{5}$

Possible Answers:

$11\frac{3}{10}$

$11\frac{4}{10}$

$11\frac{4}{5}$

$11\frac{3}{5}$

Correct answer:

$11\frac{3}{5}$

Explanation:

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

3+8=11

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

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

Report an Error

Example Question #5 : Adding Mixed Numbers

$2\frac{3}{7}+9\frac{1}{7}$

Possible Answers:

$11\frac{3}{7}$

$11\frac{4}{7}$

$11\frac{3}{14}$

$11\frac{4}{14}$

Correct answer:

$11\frac{4}{7}$

Explanation:

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

2+9=11

$\frac{3}{7}+\frac{1}{7}=\frac{4}{7}$

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

Report an Error

Example Question #6 : Adding Mixed Numbers

$5\frac{3}{6}+8\frac{2}{6}$

Possible Answers:

$13\frac{5}{6}$

$13\frac{1}{2}$

$13\frac{5}{12}$

$13\frac{3}{6}$

Correct answer:

$13\frac{5}{6}$

Explanation:

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

5+8=13

$\frac{3}{6}+\frac{2}{6}=\frac{5}{6}$

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

Report an Error

Example Question #7 : Adding Mixed Numbers

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

Possible Answers:

$12\frac{2}{14}$

$6\frac{2}{14}$

$6\frac{2}{7}$

$12\frac{2}{7}$

Correct answer:

$12\frac{2}{7}$

Explanation:

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

6+6=12

$\frac{1}{7}+\frac{1}{7}=\frac{2}{7}$

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

Report an Error

Example Question #8 : Adding Mixed Numbers

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

Possible Answers:

$12\frac{5}{8}$

$12\frac{3}{8}$

$12\frac{4}{8}$

$12\frac{4}{16}$

$12\frac{3}{16}$

Correct answer:

$12\frac{3}{8}$

Explanation:

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

7+5=12

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

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

Report an Error

Example Question #2002 : Numbers And Operations

Solve:

$3\frac{1}{3}+10\frac{1}{3}$

Possible Answers:

$13\frac{2}{6}$

$12\frac{2}{6}$

$14\frac{2}{3}$

$13\frac{2}{3}$

$14\frac{2}{6}$

Correct answer:

$13\frac{2}{3}$

Explanation:

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

3+10=13

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

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

Report an Error

Example Question #2003 : Numbers And Operations

Solve:

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

Possible Answers:

$9\frac{3}{4}$

$9\frac{1}2{}$

$9\frac{1}4{}$

$9\frac{2}4{}$

$9\frac{3}{8}$

Correct answer:

$9\frac{3}{4}$

Explanation:

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

2+7=9

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

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

Report an Error

Example Question #101 : How To Add Fractions

Sally drank $\frac{1}{12}$ of the milk and Sam drank $\frac{2}{3}$ . What fraction of the milk did they drink?

Possible Answers:

$\frac{3}{15}$

$\frac{3}{4}$

$\frac{1}{2}$

$\frac{5}{7}$

$\frac{11}{15}$

Correct answer:

$\frac{3}{4}$

Explanation:

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

In order to solve this problem, we first need to make common denominators.

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Now that we have common denominators, we can add the fractions. Remember, when we add fractions, the denominator stays the same, we only add the numerator.

$\frac{1}{12}+\frac{8}{12}=\frac{9}{12}$

$\frac{9}{12}$ can be reduced by dividing by both sides.

$\frac{9}{12}\div \frac{3}{3}=\frac{3}{4}$

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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 #1 : Adding Mixed Numbers

Example Question #2 : Adding Mixed Numbers

Example Question #3 : Adding Mixed Numbers

Example Question #5 : Adding Mixed Numbers

Example Question #6 : Adding Mixed Numbers

Example Question #7 : Adding Mixed Numbers

Example Question #8 : Adding Mixed Numbers

Example Question #2002 : Numbers And Operations

Example Question #2003 : Numbers And Operations

Example Question #101 : How To Add Fractions

All SSAT Middle Level Math Resources

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