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Common Core: 5th Grade Math : Add and Subtract Fractions with Unlike Denominators: CCSS.Math.Content.5.NF.A.1

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1577 : How To Add

Solve:

$\frac{4}6{+\frac{3}{8}}$

Possible Answers:

$1\frac{1}{24}$

$\frac{25}{48}$

$\frac{7}{14}$

$\frac{1}{2}$

$\frac{24}{25}$

Correct answer:

$1\frac{1}{24}$

Explanation:

$\frac{4}6{+\frac{3}{8}}$

In order to solve this problem, we first have to find common denominators.

$\frac{4}{6}\times\frac{4}{4}=\frac{16}{24}$

$\frac{3}{8}\times\frac{3}{3}=\frac{9}{24}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}+\frac{9}{24}=\frac{25}{24}$

$\frac{25}{24}=1\frac{1}{24}$ because can go into one time with left over.

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Example Question #2424 : Operations

Solve:

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

Possible Answers:

$\frac{16}{11}$

$\frac{8}{11}$

$1\frac{3}{8}$

$\frac{11}{16}$

$\frac{9}{12}$

Correct answer:

$1\frac{3}{8}$

Explanation:

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

In order to solve this problem, we first have to find common denominators. $\frac{2}{4}\times\frac{2}{2}=\frac{4}{8}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{7}{8}+\frac{4}{8}=\frac{11}{8}$

$\frac{11}{8}=1\frac{3}{8}$ because can go into one time with left over.

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Example Question #2425 : Operations

Solve:

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

Possible Answers:

$\frac{4}{8}$

$\frac{13}{15}$

$\frac{1}{2}$

$\frac{14}{15}$

$\frac{14}{30}$

Correct answer:

$\frac{14}{15}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{3}5{} \times\frac{3}{3}=\frac{9}{15}$

$\frac{1}{3}\times\frac{5}{5}=\frac{5}{15}$

Now that we have common denominators, we can add the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{9}{15}+\frac{5}{15}=\frac{14}{15}$

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Example Question #144 : Operations With Fractions And Whole Numbers

$\frac{3}{4}-\frac{2}{3}$

Possible Answers:

$\frac{1}{24}$

$\frac{1}{1}$

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{0}$

Correct answer:

$\frac{1}{12}$

Explanation:

$\frac{3}{4}-\frac{2}{3}$

In order to solve this problem, we first have to find common denominators.

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

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

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

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

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Example Question #145 : Operations With Fractions And Whole Numbers

$\frac{8}{12}-\frac{1}4{}$

Possible Answers:

$\frac{7}{16}$

$\frac{5}{12}$

$\frac{3}{4}$

$\frac{5}{0}$

$\frac{7}{8}$

Correct answer:

$\frac{5}{12}$

Explanation:

$\frac{8}{12}-\frac{1}4{}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{8}{12}-\frac{3}{12}=\frac{5}{12}$

Report an Error

Example Question #3 : Subtract Fractions With Unlike Denominators

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

Possible Answers:

$\frac{7}{0}$

$\frac{4}{2}$

$\frac{8}{13}$

$\frac{3}{4}$

$\frac{7}{12}$

Correct answer:

$\frac{7}{12}$

Explanation:

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

In order to solve this problem, we first have to find common denominators.

$\frac{5}{6}\times\frac{2}{2}=\frac{10}{12}$

$\frac{1}{4}\times\frac{3}{3}=\frac{3}{12}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{10}{12}-\frac{3}{12}=\frac{7}{12}$

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Example Question #51 : How To Subtract Fractions

$\frac{9}{10}-\frac{3}{5}$

Possible Answers:

$\frac{3}{10}$

$\frac{3}{0}$

$\frac{5}{7}$

$\frac{6}{5}$

$\frac{3}{4}$

Correct answer:

$\frac{3}{10}$

Explanation:

$\frac{9}{10}-\frac{3}{5}$

In order to solve this problem, we first have to find common denominators.

$\frac{3}{5}\times\frac{2}{2}=\frac{6}{10}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{9}{10}-\frac{6}{10}=\frac{3}{10}$

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Example Question #422 : Fractions

$\frac{1}{2}-\frac{1}{3}$

Possible Answers:

$\frac{1}{6}$

$\frac{1}{2}$

$\frac{0}{6}$

$\frac{3}{4}$

$\frac{2}{6}$

Correct answer:

$\frac{1}{6}$

Explanation:

$\frac{1}{2}-\frac{1}{3}$

In order to solve this problem, we first have to find common denominators.

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

$\frac{1}{3}\times\frac{2}{2}=\frac{2}{6}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{3}{6}-\frac{2}{6}=\frac{1}{6}$

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Example Question #2011 : Numbers And Operations

$\frac{3}{4}-\frac{5}{8}$

Possible Answers:

$\frac{2}{4}$

$\frac{1}2{}$

$\frac{3}{8}$

$\frac{11}{16}$

$\frac{1}{8}$

Correct answer:

$\frac{1}{8}$

Explanation:

$\frac{3}{4}-\frac{5}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{3}{4}\times\frac{2}{2}=\frac{6}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{6}{8}-\frac{5}{8}=\frac{1}{8}$

Report an Error

Example Question #7 : Subtract Fractions With Unlike Denominators

Solve the following:

$\frac{2}{3}-\frac{1}{8}$

Possible Answers:

$\frac{13}{24}$

$\frac{1}2{}$

$\frac{12}{24}$

$\frac{1}{5}$

$\frac{3}7{}$

Correct answer:

$\frac{13}{24}$

Explanation:

$\frac{2}{3}-\frac{1}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{8}{8}=\frac{16}{24}$

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}-\frac{3}{24}=\frac{13}{24}$

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Common Core: 5th Grade Math : Add and Subtract Fractions with Unlike Denominators: CCSS.Math.Content.5.NF.A.1

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #1577 : How To Add

Example Question #2424 : Operations

Example Question #2425 : Operations

Example Question #144 : Operations With Fractions And Whole Numbers

Example Question #145 : Operations With Fractions And Whole Numbers

Example Question #3 : Subtract Fractions With Unlike Denominators

Example Question #51 : How To Subtract Fractions

Example Question #422 : Fractions

Example Question #2011 : Numbers And Operations

Example Question #7 : Subtract Fractions With Unlike Denominators

All Common Core: 5th Grade Math Resources

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