Solve 35/6+21/3

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

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+5}{6}+\frac{2\times 3+1}{3}$$

Add 18 and 5 to get 23.

$$\frac{23}{6}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{23}{6}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{23}{6}+\frac{7}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{23}{6} and \frac{7}{3} to fractions with denominator 6.

$$\frac{23}{6}+\frac{14}{6}$$

Since \frac{23}{6} and \frac{14}{6} have the same denominator, add them by adding their numerators.

$$\frac{23+14}{6}$$

Add 23 and 14 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$