Solve 35/8+12/3

$$3 \frac { 5 } { 8 } + 1 \frac { 2 } { 3 }$$

Evaluate

$$\frac{127}{24}\approx 5.291666667$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+5}{8}+\frac{1\times 3+2}{3}$$

Add 24 and 5 to get 29.

$$\frac{29}{8}+\frac{1\times 3+2}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{29}{8}+\frac{3+2}{3}$$

Add 3 and 2 to get 5.

$$\frac{29}{8}+\frac{5}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{29}{8} and \frac{5}{3} to fractions with denominator 24.

$$\frac{87}{24}+\frac{40}{24}$$

Since \frac{87}{24} and \frac{40}{24} have the same denominator, add them by adding their numerators.

$$\frac{87+40}{24}$$

Add 87 and 40 to get 127.

$$\frac{127}{24}$$

Factor

$$\frac{127}{2 ^ {3} \cdot 3} = 5\frac{7}{24} = 5.291666666666667$$