Solve (4/5-1/5*1/4)div15/4=

$$( \frac { 4 } { 5 } - \frac { 1 } { 5 } \times \frac { 1 } { 4 } ) \div \frac { 15 } { 4 } =$$

Evaluate

$$\frac{1}{5}=0.2$$

Solution Steps

Multiply \frac{1}{5} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{4}{5}-\frac{1\times 1}{5\times 4}}{\frac{15}{4}}$$

Do the multiplications in the fraction \frac{1\times 1}{5\times 4}.

$$\frac{\frac{4}{5}-\frac{1}{20}}{\frac{15}{4}}$$

Least common multiple of 5 and 20 is 20. Convert \frac{4}{5} and \frac{1}{20} to fractions with denominator 20.

$$\frac{\frac{16}{20}-\frac{1}{20}}{\frac{15}{4}}$$

Since \frac{16}{20} and \frac{1}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{16-1}{20}}{\frac{15}{4}}$$

Subtract 1 from 16 to get 15.

$$\frac{\frac{15}{20}}{\frac{15}{4}}$$

Reduce the fraction \frac{15}{20} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{3}{4}}{\frac{15}{4}}$$

Divide \frac{3}{4} by \frac{15}{4} by multiplying \frac{3}{4} by the reciprocal of \frac{15}{4}.

$$\frac{3}{4}\times \frac{4}{15}$$

Multiply \frac{3}{4} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{4\times 15}$$

Cancel out 4 in both numerator and denominator.

$$\frac{3}{15}$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{5}$$

Factor

$$\frac{1}{5} = 0.2$$