Solve (32*(112/160)div(168/232)=

$$(32 \times ( \frac{ 112 }{ 160 } ) \div ( \frac{ 168 }{ 232 } )=$$

Evaluate

$$\frac{464}{15}\approx 30.933333333$$

Solution Steps

Reduce the fraction \frac{112}{160} to lowest terms by extracting and canceling out 16.

$$\frac{32\times \frac{7}{10}}{\frac{168}{232}}$$

Express 32\times \frac{7}{10} as a single fraction.

$$\frac{\frac{32\times 7}{10}}{\frac{168}{232}}$$

Multiply 32 and 7 to get 224.

$$\frac{\frac{224}{10}}{\frac{168}{232}}$$

Reduce the fraction \frac{224}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{112}{5}}{\frac{168}{232}}$$

Reduce the fraction \frac{168}{232} to lowest terms by extracting and canceling out 8.

$$\frac{\frac{112}{5}}{\frac{21}{29}}$$

Divide \frac{112}{5} by \frac{21}{29} by multiplying \frac{112}{5} by the reciprocal of \frac{21}{29}.

$$\frac{112}{5}\times \frac{29}{21}$$

Multiply \frac{112}{5} times \frac{29}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{112\times 29}{5\times 21}$$

Do the multiplications in the fraction \frac{112\times 29}{5\times 21}.

$$\frac{3248}{105}$$

Reduce the fraction \frac{3248}{105} to lowest terms by extracting and canceling out 7.

$$\frac{464}{15}$$

Factor

$$\frac{2 ^ {4} \cdot 29}{3 \cdot 5} = 30\frac{14}{15} = 30.933333333333334$$