Solve 6/9+5/8=

$$\frac { 6 } { 9 } + \frac { 5 } { 8 } =$$

Evaluate

$$\frac{31}{24}\approx 1.291666667$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}+\frac{5}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{5}{8} to fractions with denominator 24.

$$\frac{16}{24}+\frac{15}{24}$$

Since \frac{16}{24} and \frac{15}{24} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{24}$$

Add 16 and 15 to get 31.

$$\frac{31}{24}$$

Factor

$$\frac{31}{2 ^ {3} \cdot 3} = 1\frac{7}{24} = 1.2916666666666667$$