Solve 31/3div21/2

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

Evaluate

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

Solution Steps

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

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

Multiply 3 and 3 to get 9.

$$\frac{\left(9+1\right)\times 2}{3\left(2\times 2+1\right)}$$

Add 9 and 1 to get 10.

$$\frac{10\times 2}{3\left(2\times 2+1\right)}$$

Multiply 10 and 2 to get 20.

$$\frac{20}{3\left(2\times 2+1\right)}$$

Multiply 2 and 2 to get 4.

$$\frac{20}{3\left(4+1\right)}$$

Add 4 and 1 to get 5.

$$\frac{20}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

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

Factor

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