Solve 131/2div3/4

$$13 \frac{ 1 }{ 2 } \div \frac{ 3 }{ 4 }$$

Evaluate

$$18$$

Solution Steps

Divide \frac{13\times 2+1}{2} by \frac{3}{4} by multiplying \frac{13\times 2+1}{2} by the reciprocal of \frac{3}{4}.

$$\frac{\left(13\times 2+1\right)\times 4}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 13\right)}{3}$$

Multiply 2 and 13 to get 26.

$$\frac{2\left(1+26\right)}{3}$$

Add 1 and 26 to get 27.

$$\frac{2\times 27}{3}$$

Multiply 2 and 27 to get 54.

$$\frac{54}{3}$$

Divide 54 by 3 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$