Solve 13/5:31/3=

$$1 \frac { 3 } { 5 } : 3 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{12}{25}=0.48$$

Solution Steps

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

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

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$\frac{8\times 3}{5\left(3\times 3+1\right)}$$

Multiply 8 and 3 to get 24.

$$\frac{24}{5\left(3\times 3+1\right)}$$

Multiply 3 and 3 to get 9.

$$\frac{24}{5\left(9+1\right)}$$

Add 9 and 1 to get 10.

$$\frac{24}{5\times 10}$$

Multiply 5 and 10 to get 50.

$$\frac{24}{50}$$

Reduce the fraction \frac{24}{50} to lowest terms by extracting and canceling out 2.

$$\frac{12}{25}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5 ^ {2}} = 0.48$$