Solve 2*2(3/4)/(3/40/5)*frac{96{21}}=

$$\frac { 2 \times 2 ( \frac { 3 } { 4 } ) } { ( 3 / 40 / 5 ) \times \frac { 96 } { 21 } } =$$

Evaluate

$$\frac{175}{4}=43.75$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4\times \frac{3}{4}}{\frac{\frac{3}{40}}{5}\times \frac{96}{21}}$$

Cancel out 4 and 4.

$$\frac{3}{\frac{\frac{3}{40}}{5}\times \frac{96}{21}}$$

Express \frac{\frac{3}{40}}{5} as a single fraction.

$$\frac{3}{\frac{3}{40\times 5}\times \frac{96}{21}}$$

Multiply 40 and 5 to get 200.

$$\frac{3}{\frac{3}{200}\times \frac{96}{21}}$$

Reduce the fraction \frac{96}{21} to lowest terms by extracting and canceling out 3.

$$\frac{3}{\frac{3}{200}\times \frac{32}{7}}$$

Multiply \frac{3}{200} times \frac{32}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{\frac{3\times 32}{200\times 7}}$$

Do the multiplications in the fraction \frac{3\times 32}{200\times 7}.

$$\frac{3}{\frac{96}{1400}}$$

Reduce the fraction \frac{96}{1400} to lowest terms by extracting and canceling out 8.

$$\frac{3}{\frac{12}{175}}$$

Divide 3 by \frac{12}{175} by multiplying 3 by the reciprocal of \frac{12}{175}.

$$3\times \frac{175}{12}$$

Express 3\times \frac{175}{12} as a single fraction.

$$\frac{3\times 175}{12}$$

Multiply 3 and 175 to get 525.

$$\frac{525}{12}$$

Reduce the fraction \frac{525}{12} to lowest terms by extracting and canceling out 3.

$$\frac{175}{4}$$

Factor

$$\frac{5 ^ {2} \cdot 7}{2 ^ {2}} = 43\frac{3}{4} = 43.75$$