Solve 32/3+7/8

$$3 \frac { 2 } { 3 } + \frac { 7 } { 8 }$$

Evaluate

$$\frac{109}{24}\approx 4.541666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}+\frac{7}{8}$$

Add 9 and 2 to get 11.

$$\frac{11}{3}+\frac{7}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{11}{3} and \frac{7}{8} to fractions with denominator 24.

$$\frac{88}{24}+\frac{21}{24}$$

Since \frac{88}{24} and \frac{21}{24} have the same denominator, add them by adding their numerators.

$$\frac{88+21}{24}$$

Add 88 and 21 to get 109.

$$\frac{109}{24}$$

Factor

$$\frac{109}{2 ^ {3} \cdot 3} = 4\frac{13}{24} = 4.541666666666667$$