Solve 132/3+65/8

$$13 \frac { 2 } { 3 } + 6 \frac { 5 } { 8 }$$

Evaluate

$$\frac{487}{24}\approx 20.291666667$$

Solution Steps

Multiply 13 and 3 to get 39.

$$\frac{39+2}{3}+\frac{6\times 8+5}{8}$$

Add 39 and 2 to get 41.

$$\frac{41}{3}+\frac{6\times 8+5}{8}$$

Multiply 6 and 8 to get 48.

$$\frac{41}{3}+\frac{48+5}{8}$$

Add 48 and 5 to get 53.

$$\frac{41}{3}+\frac{53}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{41}{3} and \frac{53}{8} to fractions with denominator 24.

$$\frac{328}{24}+\frac{159}{24}$$

Since \frac{328}{24} and \frac{159}{24} have the same denominator, add them by adding their numerators.

$$\frac{328+159}{24}$$

Add 328 and 159 to get 487.

$$\frac{487}{24}$$

Factor

$$\frac{487}{2 ^ {3} \cdot 3} = 20\frac{7}{24} = 20.291666666666668$$