Solve 21/4:3/8

$$2 \frac { 1 } { 4 } : \frac { 3 } { 8 }$$

Evaluate

$$6$$

Solution Steps

Divide \frac{2\times 4+1}{4} by \frac{3}{8} by multiplying \frac{2\times 4+1}{4} by the reciprocal of \frac{3}{8}.

$$\frac{\left(2\times 4+1\right)\times 8}{4\times 3}$$

Cancel out 4 in both numerator and denominator.

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

Multiply 2 and 4 to get 8.

$$\frac{2\left(1+8\right)}{3}$$

Add 1 and 8 to get 9.

$$\frac{2\times 9}{3}$$

Multiply 2 and 9 to get 18.

$$\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$6$$

Factor

$$2\times 3$$