Solve 15div0.625div9/4

$$15 \div 0.625 \div \frac { 9 } { 4 }$$

Evaluate

$$\frac{32}{3}\approx 10.666666667$$

Solution Steps

Divide \frac{15}{0.625} by \frac{9}{4} by multiplying \frac{15}{0.625} by the reciprocal of \frac{9}{4}.

$$\frac{15\times 4}{0.625\times 9}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4\times 5}{0.625\times 3}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{0.625\times 3}$$

Multiply 0.625 and 3 to get 1.875.

$$\frac{20}{1.875}$$

Expand \frac{20}{1.875} by multiplying both numerator and the denominator by 1000.

$$\frac{20000}{1875}$$

Reduce the fraction \frac{20000}{1875} to lowest terms by extracting and canceling out 625.

$$\frac{32}{3}$$

Factor

$$\frac{2 ^ {5}}{3} = 10\frac{2}{3} = 10.666666666666666$$