Solve 23/5+17/8

$$2 \frac { 3 } { 5 } + 1 \frac { 7 } { 8 }$$

Evaluate

$$\frac{179}{40}=4.475$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{1\times 8+7}{8}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{1\times 8+7}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{13}{5}+\frac{8+7}{8}$$

Add 8 and 7 to get 15.

$$\frac{13}{5}+\frac{15}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{13}{5} and \frac{15}{8} to fractions with denominator 40.

$$\frac{104}{40}+\frac{75}{40}$$

Since \frac{104}{40} and \frac{75}{40} have the same denominator, add them by adding their numerators.

$$\frac{104+75}{40}$$

Add 104 and 75 to get 179.

$$\frac{179}{40}$$

Factor

$$\frac{179}{2 ^ {3} \cdot 5} = 4\frac{19}{40} = 4.475$$