Solve 32/3div(42/5*13/4)

$$3 \frac { 2 } { 3 } \div ( 4 \frac { 2 } { 5 } \times 1 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{10}{21}\approx 0.476190476$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{\frac{9+2}{3}}{\frac{4\times 5+2}{5}\times \frac{1\times 4+3}{4}}$$

Add 9 and 2 to get 11.

$$\frac{\frac{11}{3}}{\frac{4\times 5+2}{5}\times \frac{1\times 4+3}{4}}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{11}{3}}{\frac{20+2}{5}\times \frac{1\times 4+3}{4}}$$

Add 20 and 2 to get 22.

$$\frac{\frac{11}{3}}{\frac{22}{5}\times \frac{1\times 4+3}{4}}$$

Multiply 1 and 4 to get 4.

$$\frac{\frac{11}{3}}{\frac{22}{5}\times \frac{4+3}{4}}$$

Add 4 and 3 to get 7.

$$\frac{\frac{11}{3}}{\frac{22}{5}\times \frac{7}{4}}$$

Multiply \frac{22}{5} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{11}{3}}{\frac{22\times 7}{5\times 4}}$$

Do the multiplications in the fraction \frac{22\times 7}{5\times 4}.

$$\frac{\frac{11}{3}}{\frac{154}{20}}$$

Reduce the fraction \frac{154}{20} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{11}{3}}{\frac{77}{10}}$$

Divide \frac{11}{3} by \frac{77}{10} by multiplying \frac{11}{3} by the reciprocal of \frac{77}{10}.

$$\frac{11}{3}\times \frac{10}{77}$$

Multiply \frac{11}{3} times \frac{10}{77} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 10}{3\times 77}$$

Do the multiplications in the fraction \frac{11\times 10}{3\times 77}.

$$\frac{110}{231}$$

Reduce the fraction \frac{110}{231} to lowest terms by extracting and canceling out 11.

$$\frac{10}{21}$$

Factor

$$\frac{2 \cdot 5}{3 \cdot 7} = 0.47619047619047616$$