Solve 60-1/8/30-frac{1{16}}

$$\frac{ 60- \frac{ 1 }{ 8 } }{ 30- \frac{ 1 }{ 16 } }$$

Evaluate

$$2$$

Solution Steps

Convert 60 to fraction \frac{480}{8}.

$$\frac{\frac{480}{8}-\frac{1}{8}}{30-\frac{1}{16}}$$

Since \frac{480}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{480-1}{8}}{30-\frac{1}{16}}$$

Subtract 1 from 480 to get 479.

$$\frac{\frac{479}{8}}{30-\frac{1}{16}}$$

Convert 30 to fraction \frac{480}{16}.

$$\frac{\frac{479}{8}}{\frac{480}{16}-\frac{1}{16}}$$

Since \frac{480}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{479}{8}}{\frac{480-1}{16}}$$

Subtract 1 from 480 to get 479.

$$\frac{\frac{479}{8}}{\frac{479}{16}}$$

Divide \frac{479}{8} by \frac{479}{16} by multiplying \frac{479}{8} by the reciprocal of \frac{479}{16}.

$$\frac{479}{8}\times \frac{16}{479}$$

Multiply \frac{479}{8} times \frac{16}{479} by multiplying numerator times numerator and denominator times denominator.

$$\frac{479\times 16}{8\times 479}$$

Cancel out 479 in both numerator and denominator.

$$\frac{16}{8}$$

Divide 16 by 8 to get 2.

$$2$$

Factor

$$2$$