Subtract Fractions with Unlike Denominators - Common Core: 5th Grade Math

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Question

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

Answer

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

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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Question

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

Answer

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

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.

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

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Question

Solve:

$\frac{2}{3}-\frac{3}{5}$

Answer

$\frac{2}{3}-\frac{3}{5}$

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

$\frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

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

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.

$\frac{10}{15}-\frac{9}{15}=\frac{1}{15}$

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Question

Solve:

$\frac{7}{8}-\frac{3}{16}$

Answer

$\frac{7}{8}-\frac{3}{16}$

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

$\frac{7}{8}\times\frac{2}{2}=\frac{14}{16}$

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.

$\frac{14}{16}-\frac{3}{16}=\frac{11}{16}$

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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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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Question

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

Answer

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

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.

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

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Question

Solve the following:

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

Answer

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

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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Question

$\frac{9}{11}-\frac{3}{4}$

Answer

$\frac{9}{11}-\frac{3}{4}$

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

$\frac{9}{11}\times\frac{4}{4}=\frac{36}{44}$

$\frac{3}{4}\times\frac{11}{11}=\frac{33}{44}$

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.

$\frac{36}{44}-\frac{33}{44}=\frac{3}{44}$

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Question

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

Answer

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

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

$\frac{8}{9}\times\frac{8}{8}=\frac{64}{72}$

$\frac{1}{8}\times\frac{9}{9}=\frac{9}{72}$

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.

$\frac{64}{72}-\frac{9}{72}=\frac{55}{72}$

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Question

$\frac{4}{5}-\frac{2}{7}$

Answer

$\frac{4}{5}-\frac{2}{7}$

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

$\frac{4}{5}\times\frac{7}{7}=\frac{28}{35}$

$\frac{2}{7}\times\frac{5}{5}=\frac{10}{35}$

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.

$\frac{28}{35}-\frac{10}{35}=\frac{18}{35}$

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Question

$\frac{6}{7}-\frac{1}{2}$

Answer

$\frac{6}{7}-\frac{1}{2}$

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

$\frac{6}{7}\times \frac{2}{2}=\frac{12}{14}$

$\frac{1}{2}\times\frac{7}{7}=\frac{7}{14}$

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.

$\frac{12}{14}-\frac{7}{14}=\frac{5}{14}$

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Question

$\frac{1}{4}-\frac{1}{7}$

Answer

$\frac{1}{4}-\frac{1}{7}$

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

$\frac{1}{4}\times\frac{7}{7}=\frac{7}{28}$

$\frac{1}{7}\times \frac{4}{4}=\frac{4}{28}$

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.

$\frac{7}{28}-\frac{4}{28}=\frac{3}{28}$

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Question

$\frac{7}{11}-\frac{2}{5}$

Answer

$\frac{7}{11}-\frac{2}{5}$

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

$\frac{7}{11}\times\frac{5}{5}=\frac{35}{55}$

$\frac{2}{5}\times \frac{11}{11}=\frac{22}{55}$

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.

$\frac{35}{55}-\frac{22}{55}=\frac{13}{55}$

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