Solve (3/4:5/2):1/5

$$( \frac { 3 } { 4 } : \frac { 5 } { 2 } ) : \frac { 1 } { 5 }$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Divide \frac{\frac{3}{4}}{\frac{5}{2}} by \frac{1}{5} by multiplying \frac{\frac{3}{4}}{\frac{5}{2}} by the reciprocal of \frac{1}{5}.

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

Express \frac{3}{4}\times 5 as a single fraction.

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

Multiply 3 and 5 to get 15.

$$\frac{\frac{15}{4}}{\frac{5}{2}}$$

Divide \frac{15}{4} by \frac{5}{2} by multiplying \frac{15}{4} by the reciprocal of \frac{5}{2}.

$$\frac{15}{4}\times \frac{2}{5}$$

Multiply \frac{15}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{15\times 2}{4\times 5}.

$$\frac{30}{20}$$

Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$