Solve 121/2div5/8

$$12 \frac { 1 } { 2 } \div \frac { 5 } { 8 }$$

Evaluate

$$20$$

Solution Steps

Divide \frac{12\times 2+1}{2} by \frac{5}{8} by multiplying \frac{12\times 2+1}{2} by the reciprocal of \frac{5}{8}.

$$\frac{\left(12\times 2+1\right)\times 8}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{4\left(1+2\times 12\right)}{5}$$

Multiply 2 and 12 to get 24.

$$\frac{4\left(1+24\right)}{5}$$

Add 1 and 24 to get 25.

$$\frac{4\times 25}{5}$$

Multiply 4 and 25 to get 100.

$$\frac{100}{5}$$

Divide 100 by 5 to get 20.

$$20$$

Factor

$$2^{2}\times 5$$