Solve 51/2+93/8

$$5 \frac { 1 } { 2 } + 9 \frac { 3 } { 8 }$$

Evaluate

$$\frac{119}{8}=14.875$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}+\frac{9\times 8+3}{8}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}+\frac{9\times 8+3}{8}$$

Multiply 9 and 8 to get 72.

$$\frac{11}{2}+\frac{72+3}{8}$$

Add 72 and 3 to get 75.

$$\frac{11}{2}+\frac{75}{8}$$

Least common multiple of 2 and 8 is 8. Convert \frac{11}{2} and \frac{75}{8} to fractions with denominator 8.

$$\frac{44}{8}+\frac{75}{8}$$

Since \frac{44}{8} and \frac{75}{8} have the same denominator, add them by adding their numerators.

$$\frac{44+75}{8}$$

Add 44 and 75 to get 119.

$$\frac{119}{8}$$

Factor

$$\frac{7 \cdot 17}{2 ^ {3}} = 14\frac{7}{8} = 14.875$$