Solve 3/8+(5/8-2/7)=(3/8+frac{5}{8})-frac{2}{7}

$$\frac { 3 } { 8 } + ( \frac { 5 } { 8 } - \frac { 2 } { 7 } ) = ( \frac { 3 } { 8 } + \frac { 5 } { 8 } ) - \frac { 2 } { 7 }$$

Verify

Solution Steps

Since \frac{3}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{8}-\frac{2}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Add 3 and 5 to get 8.

$$\frac{8}{8}-\frac{2}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Divide 8 by 8 to get 1.

$$1-\frac{2}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Convert 1 to fraction \frac{7}{7}.

$$\frac{7}{7}-\frac{2}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{7}=\frac{3}{8}+\frac{5}{8}-\frac{2}{7}$$

Since \frac{3}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{5}{7}=\frac{3+5}{8}-\frac{2}{7}$$

Add 3 and 5 to get 8.

$$\frac{5}{7}=\frac{8}{8}-\frac{2}{7}$$

Divide 8 by 8 to get 1.

$$\frac{5}{7}=1-\frac{2}{7}$$

Convert 1 to fraction \frac{7}{7}.

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

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 7 to get 5.

$$\frac{5}{7}=\frac{5}{7}$$

Compare \frac{5}{7} and \frac{5}{7}.

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