Solve 1/4div(1/8-1/16)

$$\frac { 1 } { 4 } \div ( \frac { 1 } { 8 } - \frac { 1 } { 16 } )$$

Evaluate

$$4$$

Solution Steps

Least common multiple of 8 and 16 is 16. Convert \frac{1}{8} and \frac{1}{16} to fractions with denominator 16.

$$\frac{\frac{1}{4}}{\frac{2}{16}-\frac{1}{16}}$$

Since \frac{2}{16} and \frac{1}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{4}}{\frac{2-1}{16}}$$

Subtract 1 from 2 to get 1.

$$\frac{\frac{1}{4}}{\frac{1}{16}}$$

Divide \frac{1}{4} by \frac{1}{16} by multiplying \frac{1}{4} by the reciprocal of \frac{1}{16}.

$$\frac{1}{4}\times 16$$

Multiply \frac{1}{4} and 16 to get \frac{16}{4}.

$$\frac{16}{4}$$

Divide 16 by 4 to get 4.

$$4$$

Factor

$$2^{2}$$