Solve 1/2+4/frac{1{2}+3}

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

Evaluate

$$\frac{9}{7}\approx 1.285714286$$

Solution Steps

Convert 4 to fraction \frac{8}{2}.

$$\frac{\frac{1}{2}+\frac{8}{2}}{\frac{1}{2}+3}$$

Since \frac{1}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1+8}{2}}{\frac{1}{2}+3}$$

Add 1 and 8 to get 9.

$$\frac{\frac{9}{2}}{\frac{1}{2}+3}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{\frac{9}{2}}{\frac{1}{2}+\frac{6}{2}}$$

Since \frac{1}{2} and \frac{6}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{9}{2}}{\frac{1+6}{2}}$$

Add 1 and 6 to get 7.

$$\frac{\frac{9}{2}}{\frac{7}{2}}$$

Divide \frac{9}{2} by \frac{7}{2} by multiplying \frac{9}{2} by the reciprocal of \frac{7}{2}.

$$\frac{9}{2}\times \frac{2}{7}$$

Multiply \frac{9}{2} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 2}{2\times 7}$$

Cancel out 2 in both numerator and denominator.

$$\frac{9}{7}$$

Factor

$$\frac{3 ^ {2}}{7} = 1\frac{2}{7} = 1.2857142857142858$$