Solve 3/4div3/10

$$\frac { 3 } { 4 } \div \frac { 3 } { 10 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide \frac{3}{4} by \frac{3}{10} by multiplying \frac{3}{4} by the reciprocal of \frac{3}{10}.

$$\frac{3}{4}\times \frac{10}{3}$$

Multiply \frac{3}{4} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 10}{4\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$