Solve 153/5div37/15=

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

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

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

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

Cancel out 5 in both numerator and denominator.

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

Multiply 5 and 15 to get 75.

$$\frac{3\left(3+75\right)}{7+3\times 15}$$

Add 3 and 75 to get 78.

$$\frac{3\times 78}{7+3\times 15}$$

Multiply 3 and 78 to get 234.

$$\frac{234}{7+3\times 15}$$

Multiply 3 and 15 to get 45.

$$\frac{234}{7+45}$$

Add 7 and 45 to get 52.

$$\frac{234}{52}$$

Reduce the fraction \frac{234}{52} to lowest terms by extracting and canceling out 26.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$