Solve 21/6-5/6=8/6(12/6)

$$2 \frac { 1 } { 6 } - \frac { 5 } { 6 } = \frac { 8 } { 6 } ( 1 \frac { 2 } { 6 } )$$

Verify

Solution Steps

Multiply both sides of the equation by 6.

$$2\times 6+1-5=8\times \frac{1\times 6+2}{6}$$

Multiply 2 and 6 to get 12.

$$12+1-5=8\times \frac{1\times 6+2}{6}$$

Add 12 and 1 to get 13.

$$13-5=8\times \frac{1\times 6+2}{6}$$

Subtract 5 from 13 to get 8.

$$8=8\times \frac{1\times 6+2}{6}$$

Multiply 1 and 6 to get 6.

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

Add 6 and 2 to get 8.

$$8=8\times \frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Express 8\times \frac{4}{3} as a single fraction.

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

Multiply 8 and 4 to get 32.

$$8=\frac{32}{3}$$

Convert 8 to fraction \frac{24}{3}.

$$\frac{24}{3}=\frac{32}{3}$$

Compare \frac{24}{3} and \frac{32}{3}.

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