Solve 13/8+31/3

$$1 \frac{ 3 }{ 8 } +3 \frac{ 1 }{ 3 }$$

Evaluate

$$\frac{113}{24}\approx 4.708333333$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\frac{8+3}{8}+\frac{3\times 3+1}{3}$$

Add 8 and 3 to get 11.

$$\frac{11}{8}+\frac{3\times 3+1}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{11}{8}+\frac{9+1}{3}$$

Add 9 and 1 to get 10.

$$\frac{11}{8}+\frac{10}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{10}{3} to fractions with denominator 24.

$$\frac{33}{24}+\frac{80}{24}$$

Since \frac{33}{24} and \frac{80}{24} have the same denominator, add them by adding their numerators.

$$\frac{33+80}{24}$$

Add 33 and 80 to get 113.

$$\frac{113}{24}$$

Factor

$$\frac{113}{2 ^ {3} \cdot 3} = 4\frac{17}{24} = 4.708333333333333$$