Solve 13/5div57/15

$$1 \frac { 3 } { 5 } \div 5 \frac { 7 } { 15 }$$

Evaluate

$$\frac{12}{41}\approx 0.292682927$$

Solution Steps

Divide \frac{1\times 5+3}{5} by \frac{5\times 15+7}{15} by multiplying \frac{1\times 5+3}{5} by the reciprocal of \frac{5\times 15+7}{15}.

$$\frac{\left(1\times 5+3\right)\times 15}{5\left(5\times 15+7\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{3\left(3+5\right)}{7+5\times 15}$$

Add 3 and 5 to get 8.

$$\frac{3\times 8}{7+5\times 15}$$

Multiply 3 and 8 to get 24.

$$\frac{24}{7+5\times 15}$$

Multiply 5 and 15 to get 75.

$$\frac{24}{7+75}$$

Add 7 and 75 to get 82.

$$\frac{24}{82}$$

Reduce the fraction \frac{24}{82} to lowest terms by extracting and canceling out 2.

$$\frac{12}{41}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{41} = 0.2926829268292683$$