Solve 5/6+1/3(1+1/2)

$$\frac { 5 } { 6 } + \frac { 1 } { 3 } ( 1 + \frac { 1 } { 2 } )$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$\frac{5}{6}+\frac{1}{3}\left(\frac{2}{2}+\frac{1}{2}\right)$$

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

$$\frac{5}{6}+\frac{1}{3}\times \frac{2+1}{2}$$

Add 2 and 1 to get 3.

$$\frac{5}{6}+\frac{1}{3}\times \frac{3}{2}$$

Multiply \frac{1}{3} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{6}+\frac{1\times 3}{3\times 2}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$\frac{5}{6}+\frac{3}{6}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$\frac{5+3}{6}$$

Add 5 and 3 to get 8.

$$\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$