Solve 21/2:5/8

$$2 \frac { 1 } { 2 } : \frac { 5 } { 8 }$$

Evaluate

$$4$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 2 to get 4.

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

Add 1 and 4 to get 5.

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

Multiply 4 and 5 to get 20.

$$\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$4$$

Factor

$$2^{2}$$