Solve 31/6+23/5=

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

Evaluate

$$\frac{173}{30}\approx 5.766666667$$

Solution Steps

Multiply 3 and 6 to get 18.

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

Add 18 and 1 to get 19.

$$\frac{19}{6}+\frac{2\times 5+3}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{19}{6}+\frac{10+3}{5}$$

Add 10 and 3 to get 13.

$$\frac{19}{6}+\frac{13}{5}$$

Least common multiple of 6 and 5 is 30. Convert \frac{19}{6} and \frac{13}{5} to fractions with denominator 30.

$$\frac{95}{30}+\frac{78}{30}$$

Since \frac{95}{30} and \frac{78}{30} have the same denominator, add them by adding their numerators.

$$\frac{95+78}{30}$$

Add 95 and 78 to get 173.

$$\frac{173}{30}$$

Factor

$$\frac{173}{2 \cdot 3 \cdot 5} = 5\frac{23}{30} = 5.766666666666667$$