Solve 1-1/16/1-frac{1{2}}=1+2/16

$$\frac{ 1- \frac{ 1 }{ 16 } }{ 1- \frac{ 1 }{ 2 } } =1+ \frac{ 2 }{ 16 }$$

Verify

Solution Steps

Convert 1 to fraction \frac{16}{16}.

$$\frac{\frac{16}{16}-\frac{1}{16}}{1-\frac{1}{2}}=1+\frac{2}{16}$$

Since \frac{16}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16-1}{16}}{1-\frac{1}{2}}=1+\frac{2}{16}$$

Subtract 1 from 16 to get 15.

$$\frac{\frac{15}{16}}{1-\frac{1}{2}}=1+\frac{2}{16}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{15}{16}}{\frac{2}{2}-\frac{1}{2}}=1+\frac{2}{16}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{15}{16}}{\frac{2-1}{2}}=1+\frac{2}{16}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{15}{16}}{\frac{1}{2}}=1+\frac{2}{16}$$

Divide \frac{15}{16} by \frac{1}{2} by multiplying \frac{15}{16} by the reciprocal of \frac{1}{2}.

$$\frac{15}{16}\times 2=1+\frac{2}{16}$$

Express \frac{15}{16}\times 2 as a single fraction.

$$\frac{15\times 2}{16}=1+\frac{2}{16}$$

Multiply 15 and 2 to get 30.

$$\frac{30}{16}=1+\frac{2}{16}$$

Reduce the fraction \frac{30}{16} to lowest terms by extracting and canceling out 2.

$$\frac{15}{8}=1+\frac{2}{16}$$

Reduce the fraction \frac{2}{16} to lowest terms by extracting and canceling out 2.

$$\frac{15}{8}=1+\frac{1}{8}$$

Convert 1 to fraction \frac{8}{8}.

$$\frac{15}{8}=\frac{8}{8}+\frac{1}{8}$$

Since \frac{8}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{15}{8}=\frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{15}{8}=\frac{9}{8}$$

Compare \frac{15}{8} and \frac{9}{8}.

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