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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 #21 : Express A Fraction With Denominator 10 As An Equivalent Fraction With Denominator 100: Ccss.Math.Content.4.Nf.C.5

$\frac{1}{10}+\frac{1}{100}=$

Possible Answers:

$\frac{21}{100}$

$\frac{11}{100}$

$\frac{2}{100}$

$\frac{2}{10}$

$\frac{20}{100}$

Correct answer:

$\frac{11}{100}$

Explanation:

When we add fractions, we must have common denominators. Whenever we have a number over or 100 we can add (s) to the numerator and denominator to make common denominators.

$\frac{1}{10}=\frac{10}{100}$

$\frac{10}{100}+\frac{1}{100}=\frac{11}{100}$

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Example Question #871 : Numbers And Operations

$\frac{9}{10}+\frac{6}{100}=$

Possible Answers:

$\frac{60}{100}$

$\frac{96}{100}$

$\frac{15}{100}$

$\frac{90}{100}$

$\frac{15}{10}$

Correct answer:

$\frac{96}{100}$

Explanation:

When we add fractions, we must have common denominators. Whenever we have a number over or 100 we can add (s) to the numerator and denominator to make common denominators.

$\frac{9}{10}=\frac{90}{100}$

$\frac{90}{100}+\frac{6}{100}=\frac{96}{100}$

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Example Question #872 : Numbers And Operations

$\frac{2}{10}+\frac{4}{100}=$

Possible Answers:

$\frac{6}{10}$

$\frac{40}{100}$

$\frac{24}{100}$

$\frac{20}{100}$

$\frac{6}{100}$

Correct answer:

$\frac{24}{100}$

Explanation:

When we add fractions, we must have common denominators. Whenever we have a number over or 100 we can add (s) to the numerator and denominator to make common denominators.

$\frac{2}{10}=\frac{20}{100}$

$\frac{20}{100}+\frac{4}{100}=\frac{24}{100}$

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Example Question #873 : Numbers And Operations

$\frac{3}{10}+\frac{6}{100}=$

Possible Answers:

$\frac{9}{100}$

$\frac{36}{100}$

$\frac{30}{100}$

$\frac{60}{100}$

$\frac{6}{10}$

Correct answer:

$\frac{36}{100}$

Explanation:

When we add fractions, we must have common denominators. Whenever we have a number over or 100 we can add (s) to the numerator and denominator to make common denominators.

$\frac{3}{10}=\frac{30}{100}$

$\frac{30}{100}+\frac{6}{100}=\frac{36}{100}$

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Example Question #211 : How To Add Fractions

Solve:

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

Possible Answers:

$7\frac{1}{3}$

$7\frac{1}{2}$

$7\frac{2}{3}$

$7\frac{2}{6}$

$7\frac{2}{9}$

Correct answer:

$7\frac{2}{3}$

Explanation:

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

3+4=7

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

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

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Example Question #212 : How To Add Fractions

Solve:

$6\frac{1}{5}+4\frac{1}{5}$

Possible Answers:

$12\frac{2}{5}$

$12\frac{2}{10}$

$10\frac{2}{5}$

$10\frac{2}{10}$

$10\frac{1}{5}$

Correct answer:

$10\frac{2}{5}$

Explanation:

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

6+4=10

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

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

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Example Question #393 : Fractions

Find the sum: $4\tfrac{2}{3}+ 5 \tfrac{1}{2}$

Possible Answers:

$10 \tfrac{1}{3}$

$10 \tfrac{1}{6}$

$9 \tfrac{1}{3}$

$9 \tfrac{1}{6}$

$9 \tfrac{3}{5}$

Correct answer:

$10 \tfrac{1}{6}$

Explanation:

Add the fractions by writing each with the lowest common denominator, which is LCM (2,3) =6 .

$\frac{2}{3} + \frac{1}{2} = \frac{2 \cdot 2}{3\cdot 2} + \frac{1\cdot 3}{2\cdot 3} = \frac{4}{6} + \frac{3}{6}= \frac{7}{6}=1 \frac{1}{6 }$

Add the integers: 4+5=9

Now add the two sums: $9 + 1\tfrac{1}{6} =10 \tfrac{1}{6}$

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Example Question #213 : How To Add Fractions

$\frac{2}{6}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{6}+\frac{1}{6}+\frac{1}{3}$

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #214 : How To Add Fractions

Which option is equal to:

$17\frac{4}{10}$

Possible Answers:

$11\frac{2}{10}+6\frac{2}{10}$

$11\frac{2}{10}+5\frac{2}{10}$

$12\frac{2}{10}+6\frac{2}{10}$

$11\frac{1}{10}+5\frac{2}{10}$

$11\frac{1}{10}+6\frac{2}{10}$

Correct answer:

$11\frac{2}{10}+6\frac{2}{10}$

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.

$11\frac{2}{10}+6\frac{2}{10}=17\frac{4}{10}$

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Example Question #331 : Build Fractions From Unit Fractions

Select the fraction model that shows the sum of:

$\frac{4}{8}+\frac{2}{8}$

Possible Answers:

6 8

6 12

8 12

4th grade 14 second answer choice

7 8

Correct answer:

6 8

Explanation:

$\frac{4}{8}+\frac{2}{8}=\frac{6}{8}$

The fraction model is broken up into eight pieces and six 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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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 #21 : Express A Fraction With Denominator 10 As An Equivalent Fraction With Denominator 100: Ccss.Math.Content.4.Nf.C.5

Example Question #871 : Numbers And Operations

Example Question #872 : Numbers And Operations

Example Question #873 : Numbers And Operations

Example Question #211 : How To Add Fractions

Example Question #212 : How To Add Fractions

Example Question #393 : Fractions

Example Question #213 : How To Add Fractions

Example Question #214 : How To Add Fractions

Example Question #331 : Build Fractions From Unit Fractions

All SSAT Middle Level Math Resources

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