Solve 3/4*3/4*3/4div1/32

$$\frac { 3 } { 4 } \times \frac { 3 } { 4 } \times \frac { 3 } { 4 } \div \frac { 1 } { 32 }$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Multiply \frac{3}{4} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{3\times 3}{4\times 4}\times \frac{3}{4}}{\frac{1}{32}}$$

Do the multiplications in the fraction \frac{3\times 3}{4\times 4}.

$$\frac{\frac{9}{16}\times \frac{3}{4}}{\frac{1}{32}}$$

Multiply \frac{9}{16} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{9\times 3}{16\times 4}}{\frac{1}{32}}$$

Do the multiplications in the fraction \frac{9\times 3}{16\times 4}.

$$\frac{\frac{27}{64}}{\frac{1}{32}}$$

Divide \frac{27}{64} by \frac{1}{32} by multiplying \frac{27}{64} by the reciprocal of \frac{1}{32}.

$$\frac{27}{64}\times 32$$

Express \frac{27}{64}\times 32 as a single fraction.

$$\frac{27\times 32}{64}$$

Multiply 27 and 32 to get 864.

$$\frac{864}{64}$$

Reduce the fraction \frac{864}{64} to lowest terms by extracting and canceling out 32.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$