Solve 42/3div(32/3*14/11)

$$4 \frac { 2 } { 3 } \div ( 3 \frac { 2 } { 3 } \times 1 \frac { 4 } { 11 } )$$

Evaluate

$$\frac{14}{15}\approx 0.933333333$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{\frac{12+2}{3}}{\frac{3\times 3+2}{3}\times \frac{1\times 11+4}{11}}$$

Add 12 and 2 to get 14.

$$\frac{\frac{14}{3}}{\frac{3\times 3+2}{3}\times \frac{1\times 11+4}{11}}$$

Multiply 3 and 3 to get 9.

$$\frac{\frac{14}{3}}{\frac{9+2}{3}\times \frac{1\times 11+4}{11}}$$

Add 9 and 2 to get 11.

$$\frac{\frac{14}{3}}{\frac{11}{3}\times \frac{1\times 11+4}{11}}$$

Multiply 1 and 11 to get 11.

$$\frac{\frac{14}{3}}{\frac{11}{3}\times \frac{11+4}{11}}$$

Add 11 and 4 to get 15.

$$\frac{\frac{14}{3}}{\frac{11}{3}\times \frac{15}{11}}$$

Multiply \frac{11}{3} times \frac{15}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{14}{3}}{\frac{11\times 15}{3\times 11}}$$

Cancel out 11 in both numerator and denominator.

$$\frac{\frac{14}{3}}{\frac{15}{3}}$$

Divide 15 by 3 to get 5.

$$\frac{\frac{14}{3}}{5}$$

Express \frac{\frac{14}{3}}{5} as a single fraction.

$$\frac{14}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{14}{15}$$

Factor

$$\frac{2 \cdot 7}{3 \cdot 5} = 0.9333333333333333$$