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Common Core: 5th Grade Math : Add Fractions with Unlike Denominators

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

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #11 : Add Fractions With Unlike Denominators

Solve:

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

Possible Answers:

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

$\frac{8}{11}$ $\displaystyle \frac{8}{11}$

$\frac{9}{12}$ $\displaystyle \frac{9}{12}$

$\frac{11}{16}$ $\displaystyle \frac{11}{16}$

$\frac{16}{11}$ $\displaystyle \frac{16}{11}$

Correct answer:

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

Explanation:

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

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

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.

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

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

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Example Question #12 : Add Fractions With Unlike Denominators

Solve:

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

Possible Answers:

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

$\frac{4}{8}$ $\displaystyle \frac{4}{8}$

$\frac{13}{15}$ $\displaystyle \frac{13}{15}$

$\frac{14}{30}$ $\displaystyle \frac{14}{30}$

$\frac{14}{15}$ $\displaystyle \frac{14}{15}$

Correct answer:

$\frac{14}{15}$ $\displaystyle \frac{14}{15}$

Explanation:

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

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

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

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

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.

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

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Common Core: 5th Grade Math : Add Fractions with Unlike Denominators

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #11 : Add Fractions With Unlike Denominators

Example Question #12 : Add Fractions With Unlike Denominators

All Common Core: 5th Grade Math Resources

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