Solve 21/2div33/4

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

Evaluate

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

Solution Steps

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

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

Cancel out 2 in both numerator and denominator.

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

Multiply 2 and 2 to get 4.

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

Add 1 and 4 to get 5.

$$\frac{2\times 5}{3+3\times 4}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{3+3\times 4}$$

Multiply 3 and 4 to get 12.

$$\frac{10}{3+12}$$

Add 3 and 12 to get 15.

$$\frac{10}{15}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

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

Factor

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