Solve 150%text{of}3/10text{of}0.2

$$150 \% \text { of } \frac { 3 } { 10 } \text { of } 0.2$$

Evaluate

$$0.09$$

Solution Steps

Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.

$$\frac{3}{2}\times \frac{3}{10}\times 0.2$$

Multiply \frac{3}{2} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 3}{2\times 10}\times 0.2$$

Do the multiplications in the fraction \frac{3\times 3}{2\times 10}.

$$\frac{9}{20}\times 0.2$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{20}\times \frac{1}{5}$$

Multiply \frac{9}{20} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 1}{20\times 5}$$

Do the multiplications in the fraction \frac{9\times 1}{20\times 5}.

$$\frac{9}{100}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2} \cdot 5 ^ {2}} = 0.09$$