Solve 31/5div22/5=

$$3 \frac { 1 } { 5 } \div 2 \frac { 2 } { 5 } =$$

Evaluate

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

Solution Steps

Divide \frac{3\times 5+1}{5} by \frac{2\times 5+2}{5} by multiplying \frac{3\times 5+1}{5} by the reciprocal of \frac{2\times 5+2}{5}.

$$\frac{\left(3\times 5+1\right)\times 5}{5\left(2\times 5+2\right)}$$

Cancel out 5 in both numerator and denominator.

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

Multiply 3 and 5 to get 15.

$$\frac{1+15}{2+2\times 5}$$

Add 1 and 15 to get 16.

$$\frac{16}{2+2\times 5}$$

Multiply 2 and 5 to get 10.

$$\frac{16}{2+10}$$

Add 2 and 10 to get 12.

$$\frac{16}{12}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

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

Factor

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