Solve 35/6+21/2=

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

Evaluate

$$\frac{19}{3}\approx 6.333333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}+\frac{2\times 2+1}{2}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}+\frac{2\times 2+1}{2}$$

Multiply 2 and 2 to get 4.

$$\frac{23}{6}+\frac{4+1}{2}$$

Add 4 and 1 to get 5.

$$\frac{23}{6}+\frac{5}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{23}{6} and \frac{5}{2} to fractions with denominator 6.

$$\frac{23}{6}+\frac{15}{6}$$

Since \frac{23}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$\frac{23+15}{6}$$

Add 23 and 15 to get 38.

$$\frac{38}{6}$$

Reduce the fraction \frac{38}{6} to lowest terms by extracting and canceling out 2.

$$\frac{19}{3}$$

Factor

$$\frac{19}{3} = 6\frac{1}{3} = 6.333333333333333$$