Solve 0.75:3/5

$$0.75 : \frac { 3 } { 5 }$$

Evaluate

$$1.25$$

Solution Steps

Divide 0.75 by \frac{3}{5} by multiplying 0.75 by the reciprocal of \frac{3}{5}.

$$0.75\times \frac{5}{3}$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

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

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

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

Cancel out 3 in both numerator and denominator.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$