Solve 1/8*[3/4div(3/5*10/9)]

$$\frac { 1 } { 8 } \times [ \frac { 3 } { 4 } \div ( \frac { 3 } { 5 } \times \frac { 10 } { 9 } ) ]$$

Evaluate

$$\frac{9}{64}=0.140625$$

Solution Steps

Multiply \frac{3}{5} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}\times \frac{\frac{3}{4}}{\frac{3\times 10}{5\times 9}}$$

Do the multiplications in the fraction \frac{3\times 10}{5\times 9}.

$$\frac{1}{8}\times \frac{\frac{3}{4}}{\frac{30}{45}}$$

Reduce the fraction \frac{30}{45} to lowest terms by extracting and canceling out 15.

$$\frac{1}{8}\times \frac{\frac{3}{4}}{\frac{2}{3}}$$

Divide \frac{3}{4} by \frac{2}{3} by multiplying \frac{3}{4} by the reciprocal of \frac{2}{3}.

$$\frac{1}{8}\times \frac{3}{4}\times \frac{3}{2}$$

Multiply \frac{3}{4} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{8}\times \frac{3\times 3}{4\times 2}$$

Do the multiplications in the fraction \frac{3\times 3}{4\times 2}.

$$\frac{1}{8}\times \frac{9}{8}$$

Multiply \frac{1}{8} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{8\times 8}$$

Do the multiplications in the fraction \frac{1\times 9}{8\times 8}.

$$\frac{9}{64}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {6}} = 0.140625$$