Solve 11/2div21/4=

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

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Add 1 and 2 to get 3.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{1+2\times 4}$$

Multiply 2 and 4 to get 8.

$$\frac{6}{1+8}$$

Add 1 and 8 to get 9.

$$\frac{6}{9}$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}$$

Factor

$$\frac{2}{3} = 0.6666666666666666$$