Solve 42/3div31/2

$$4 \frac { 2 } { 3 } \div 3 \frac { 1 } { 2 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Divide \frac{4\times 3+2}{3} by \frac{3\times 2+1}{2} by multiplying \frac{4\times 3+2}{3} by the reciprocal of \frac{3\times 2+1}{2}.

$$\frac{\left(4\times 3+2\right)\times 2}{3\left(3\times 2+1\right)}$$

Multiply 4 and 3 to get 12.

$$\frac{\left(12+2\right)\times 2}{3\left(3\times 2+1\right)}$$

Add 12 and 2 to get 14.

$$\frac{14\times 2}{3\left(3\times 2+1\right)}$$

Multiply 14 and 2 to get 28.

$$\frac{28}{3\left(3\times 2+1\right)}$$

Multiply 3 and 2 to get 6.

$$\frac{28}{3\left(6+1\right)}$$

Add 6 and 1 to get 7.

$$\frac{28}{3\times 7}$$

Multiply 3 and 7 to get 21.

$$\frac{28}{21}$$

Reduce the fraction \frac{28}{21} to lowest terms by extracting and canceling out 7.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$