Solve 22/5+31/6

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

Evaluate

$$\frac{167}{30}\approx 5.566666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}+\frac{3\times 6+1}{6}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}+\frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{12}{5}+\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{12}{5}+\frac{19}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{12}{5} and \frac{19}{6} to fractions with denominator 30.

$$\frac{72}{30}+\frac{95}{30}$$

Since \frac{72}{30} and \frac{95}{30} have the same denominator, add them by adding their numerators.

$$\frac{72+95}{30}$$

Add 72 and 95 to get 167.

$$\frac{167}{30}$$

Factor

$$\frac{167}{2 \cdot 3 \cdot 5} = 5\frac{17}{30} = 5.566666666666666$$