Solve 33/8+11/3

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

Evaluate

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

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+3}{8}+\frac{1\times 3+1}{3}$$

Add 24 and 3 to get 27.

$$\frac{27}{8}+\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{27}{8}+\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{27}{8}+\frac{4}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{27}{8} and \frac{4}{3} to fractions with denominator 24.

$$\frac{81}{24}+\frac{32}{24}$$

Since \frac{81}{24} and \frac{32}{24} have the same denominator, add them by adding their numerators.

$$\frac{81+32}{24}$$

Add 81 and 32 to get 113.

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

Factor

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