Solve 0.15div0.625div9/4

$$0.15 \div 0.625 \div \frac { 9 } { 4 }$$

Evaluate

$$\frac{8}{75}\approx 0.106666667$$

Solution Steps

Divide \frac{0.15}{0.625} by \frac{9}{4} by multiplying \frac{0.15}{0.625} by the reciprocal of \frac{9}{4}.

$$\frac{0.15\times 4}{0.625\times 9}$$

Multiply 0.15 and 4 to get 0.6.

$$\frac{0.6}{0.625\times 9}$$

Multiply 0.625 and 9 to get 5.625.

$$\frac{0.6}{5.625}$$

Expand \frac{0.6}{5.625} by multiplying both numerator and the denominator by 1000.

$$\frac{600}{5625}$$

Reduce the fraction \frac{600}{5625} to lowest terms by extracting and canceling out 75.

$$\frac{8}{75}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5 ^ {2}} = 0.10666666666666667$$