Solve 42/5:31/3

$$4 \frac { 2 } { 5 } : 3 \frac { 1 } { 3 }$$

Evaluate

$$\frac{33}{25}=1.32$$

Solution Steps

Divide \frac{4\times 5+2}{5} by \frac{3\times 3+1}{3} by multiplying \frac{4\times 5+2}{5} by the reciprocal of \frac{3\times 3+1}{3}.

$$\frac{\left(4\times 5+2\right)\times 3}{5\left(3\times 3+1\right)}$$

Multiply 4 and 5 to get 20.

$$\frac{\left(20+2\right)\times 3}{5\left(3\times 3+1\right)}$$

Add 20 and 2 to get 22.

$$\frac{22\times 3}{5\left(3\times 3+1\right)}$$

Multiply 22 and 3 to get 66.

$$\frac{66}{5\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{66}{5\left(9+1\right)}$$

Add 9 and 1 to get 10.

$$\frac{66}{5\times 10}$$

Multiply 5 and 10 to get 50.

$$\frac{66}{50}$$

Reduce the fraction \frac{66}{50} to lowest terms by extracting and canceling out 2.

$$\frac{33}{25}$$

Factor

$$\frac{3 \cdot 11}{5 ^ {2}} = 1\frac{8}{25} = 1.32$$