Solve 11/2div33/4

$$1 \frac { 1 } { 2 } \div 3 \frac { 3 } { 4 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Add 1 and 2 to get 3.

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

Multiply 2 and 3 to get 6.

$$\frac{6}{3+3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{6}{3+12}$$

Add 3 and 12 to get 15.

$$\frac{6}{15}$$

Reduce the fraction \frac{6}{15} to lowest terms by extracting and canceling out 3.

$$\frac{2}{5}$$

Factor

$$\frac{2}{5} = 0.4$$