Solve 3/4*2.5/frac{1{2}}

$$\frac { \frac { 3 } { 4 } \times 2.5 } { \frac { 1 } { 2 } }$$

Evaluate

$$3.75$$

Solution Steps

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{\frac{3}{4}\times \frac{5}{2}}{\frac{1}{2}}$$

Multiply \frac{3}{4} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 5}{4\times 2}}{\frac{1}{2}}$$

Do the multiplications in the fraction \frac{3\times 5}{4\times 2}.

$$\frac{\frac{15}{8}}{\frac{1}{2}}$$

Divide \frac{15}{8} by \frac{1}{2} by multiplying \frac{15}{8} by the reciprocal of \frac{1}{2}.

$$\frac{15}{8}\times 2$$

Express \frac{15}{8}\times 2 as a single fraction.

$$\frac{15\times 2}{8}$$

Multiply 15 and 2 to get 30.

$$\frac{30}{8}$$

Reduce the fraction \frac{30}{8} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$$