Solve (4/4-3/4)div(2/5)

$$( \frac { 4 } { 4 } - \frac { 3 } { 4 } ) \div ( \frac { 2 } { 5 } )$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Since \frac{4}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-3}{4}}{\frac{2}{5}}$$

Subtract 3 from 4 to get 1.

$$\frac{\frac{1}{4}}{\frac{2}{5}}$$

Divide \frac{1}{4} by \frac{2}{5} by multiplying \frac{1}{4} by the reciprocal of \frac{2}{5}.

$$\frac{1}{4}\times \frac{5}{2}$$

Multiply \frac{1}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{4\times 2}$$

Do the multiplications in the fraction \frac{1\times 5}{4\times 2}.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$