Solve 212/5+7/8

$$2 \frac { 12 } { 5 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{211}{40}=5.275$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+12}{5}+\frac{7}{8}$$

Add 10 and 12 to get 22.

$$\frac{22}{5}+\frac{7}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{22}{5} and \frac{7}{8} to fractions with denominator 40.

$$\frac{176}{40}+\frac{35}{40}$$

Since \frac{176}{40} and \frac{35}{40} have the same denominator, add them by adding their numerators.

$$\frac{176+35}{40}$$

Add 176 and 35 to get 211.

$$\frac{211}{40}$$

Factor

$$\frac{211}{2 ^ {3} \cdot 5} = 5\frac{11}{40} = 5.275$$