Solve 41/2:11/8

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

Evaluate

$$4$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 4 to get 8.

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

Add 1 and 8 to get 9.

$$\frac{4\times 9}{1+8}$$

Multiply 4 and 9 to get 36.

$$\frac{36}{1+8}$$

Add 1 and 8 to get 9.

$$\frac{36}{9}$$

Divide 36 by 9 to get 4.

$$4$$

Factor

$$2^{2}$$