Solve 24/5div13/25

$$2 \frac { 4 } { 5 } \div 1 \frac { 3 } { 25 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide \frac{2\times 5+4}{5} by \frac{1\times 25+3}{25} by multiplying \frac{2\times 5+4}{5} by the reciprocal of \frac{1\times 25+3}{25}.

$$\frac{\left(2\times 5+4\right)\times 25}{5\left(1\times 25+3\right)}$$

Cancel out 5 in both numerator and denominator.

$$\frac{5\left(4+2\times 5\right)}{3+25}$$

Multiply 2 and 5 to get 10.

$$\frac{5\left(4+10\right)}{3+25}$$

Add 4 and 10 to get 14.

$$\frac{5\times 14}{3+25}$$

Multiply 5 and 14 to get 70.

$$\frac{70}{3+25}$$

Add 3 and 25 to get 28.

$$\frac{70}{28}$$

Reduce the fraction \frac{70}{28} to lowest terms by extracting and canceling out 14.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$