Solve 2187*(1/27)/12*(frac{1{32})}

$$\frac { 2187 \times ( \frac { 1 } { 27 } ) } { 12 \times ( \frac { 1 } { 32 } ) }$$

Evaluate

$$216$$

Solution Steps

Cancel out 3 in both numerator and denominator.

$$\frac{\frac{1}{27}\times 729}{\frac{1}{32}\times 4}$$

Multiply \frac{1}{27} and 729 to get \frac{729}{27}.

$$\frac{\frac{729}{27}}{\frac{1}{32}\times 4}$$

Divide 729 by 27 to get 27.

$$\frac{27}{\frac{1}{32}\times 4}$$

Multiply \frac{1}{32} and 4 to get \frac{4}{32}.

$$\frac{27}{\frac{4}{32}}$$

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$\frac{27}{\frac{1}{8}}$$

Divide 27 by \frac{1}{8} by multiplying 27 by the reciprocal of \frac{1}{8}.

$$27\times 8$$

Multiply 27 and 8 to get 216.

$$216$$

Factor

$$2^{3}\times 3^{3}$$