Solve 41/2/1+frac{1{2}}

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

Evaluate

$$3$$

Solution Steps

Multiply 4 and 2 to get 8.

$$\frac{\frac{8+1}{2}}{1+\frac{1}{2}}$$

Add 8 and 1 to get 9.

$$\frac{\frac{9}{2}}{1+\frac{1}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$\frac{\frac{9}{2}}{\frac{2}{2}+\frac{1}{2}}$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9}{2}}{\frac{2+1}{2}}$$

Add 2 and 1 to get 3.

$$\frac{\frac{9}{2}}{\frac{3}{2}}$$

Divide \frac{9}{2} by \frac{3}{2} by multiplying \frac{9}{2} by the reciprocal of \frac{3}{2}.

$$\frac{9}{2}\times \frac{2}{3}$$

Multiply \frac{9}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

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

Divide 9 by 3 to get 3.

$$3$$

Factor

$$3$$