Solve 3/4*25/frac{1{2}}

$$\frac { \frac { 3 } { 4 } \times 25 } { \frac { 1 } { 2 } }$$

Evaluate

$$\frac{75}{2}=37.5$$

Solution Steps

Express \frac{3}{4}\times 25 as a single fraction.

$$\frac{\frac{3\times 25}{4}}{\frac{1}{2}}$$

Multiply 3 and 25 to get 75.

$$\frac{\frac{75}{4}}{\frac{1}{2}}$$

Divide \frac{75}{4} by \frac{1}{2} by multiplying \frac{75}{4} by the reciprocal of \frac{1}{2}.

$$\frac{75}{4}\times 2$$

Express \frac{75}{4}\times 2 as a single fraction.

$$\frac{75\times 2}{4}$$

Multiply 75 and 2 to get 150.

$$\frac{150}{4}$$

Reduce the fraction \frac{150}{4} to lowest terms by extracting and canceling out 2.

$$\frac{75}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5$$