Solve 0.32(0.7/1-0.385)

$$0.32 ( \frac { 0.7 } { 1 - 0.385 } )$$

Evaluate

$$\frac{224}{615}\approx 0.364227642$$

Solution Steps

Subtract 0.385 from 1 to get 0.615.

$$0.32\times \frac{0.7}{0.615}$$

Expand \frac{0.7}{0.615} by multiplying both numerator and the denominator by 1000.

$$0.32\times \frac{700}{615}$$

Reduce the fraction \frac{700}{615} to lowest terms by extracting and canceling out 5.

$$0.32\times \frac{140}{123}$$

Convert decimal number 0.32 to fraction \frac{32}{100}. Reduce the fraction \frac{32}{100} to lowest terms by extracting and canceling out 4.

$$\frac{8}{25}\times \frac{140}{123}$$

Multiply \frac{8}{25} times \frac{140}{123} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 140}{25\times 123}$$

Do the multiplications in the fraction \frac{8\times 140}{25\times 123}.

$$\frac{1120}{3075}$$

Reduce the fraction \frac{1120}{3075} to lowest terms by extracting and canceling out 5.

$$\frac{224}{615}$$

Factor

$$\frac{7 \cdot 2 ^ {5}}{3 \cdot 5 \cdot 41} = 0.3642276422764228$$