Solve (9/10)div(2/10)div(2/3)=

$$( \frac{ 9 }{ 10 } ) \div ( \frac{ 2 }{ 10 } ) \div ( \frac{ 2 }{ 3 } )=$$

Evaluate

$$\frac{27}{4}=6.75$$

Solution Steps

Divide \frac{\frac{9}{10}}{\frac{2}{10}} by \frac{2}{3} by multiplying \frac{\frac{9}{10}}{\frac{2}{10}} by the reciprocal of \frac{2}{3}.

$$\frac{\frac{9}{10}\times 3}{\frac{2}{10}\times 2}$$

Express \frac{9}{10}\times 3 as a single fraction.

$$\frac{\frac{9\times 3}{10}}{\frac{2}{10}\times 2}$$

Multiply 9 and 3 to get 27.

$$\frac{\frac{27}{10}}{\frac{2}{10}\times 2}$$

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

$$\frac{\frac{27}{10}}{\frac{1}{5}\times 2}$$

Multiply \frac{1}{5} and 2 to get \frac{2}{5}.

$$\frac{\frac{27}{10}}{\frac{2}{5}}$$

Divide \frac{27}{10} by \frac{2}{5} by multiplying \frac{27}{10} by the reciprocal of \frac{2}{5}.

$$\frac{27}{10}\times \frac{5}{2}$$

Multiply \frac{27}{10} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{27\times 5}{10\times 2}$$

Do the multiplications in the fraction \frac{27\times 5}{10\times 2}.

$$\frac{135}{20}$$

Reduce the fraction \frac{135}{20} to lowest terms by extracting and canceling out 5.

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

Factor

$$\frac{3 ^ {3}}{2 ^ {2}} = 6\frac{3}{4} = 6.75$$