Solve 11/2div41/2=

$$1 \frac { 1 } { 2 } \div 4 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{1}{3}\approx 0.333333333$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

$$\frac{1+2}{1+2\times 4}$$

Add 1 and 2 to get 3.

$$\frac{3}{1+2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{3}{1+8}$$

Add 1 and 8 to get 9.

$$\frac{3}{9}$$

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{1}{3}$$

Factor

$$\frac{1}{3} = 0.3333333333333333$$