Solve 7/8+9/15=?

$$\frac { 7 } { 8 } + \frac { 9 } { 15 } = ?$$

Evaluate

$$\frac{59}{40}=1.475$$

Solution Steps

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{8}+\frac{3}{5}$$

Least common multiple of 8 and 5 is 40. Convert \frac{7}{8} and \frac{3}{5} to fractions with denominator 40.

$$\frac{35}{40}+\frac{24}{40}$$

Since \frac{35}{40} and \frac{24}{40} have the same denominator, add them by adding their numerators.

$$\frac{35+24}{40}$$

Add 35 and 24 to get 59.

$$\frac{59}{40}$$

Factor

$$\frac{59}{2 ^ {3} \cdot 5} = 1\frac{19}{40} = 1.475$$