Solve 75/8+23/4

$$7 \frac { 5 } { 8 } + 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{83}{8}=10.375$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{56+5}{8}+\frac{2\times 4+3}{4}$$

Add 56 and 5 to get 61.

$$\frac{61}{8}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{61}{8}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{61}{8}+\frac{11}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{61}{8} and \frac{11}{4} to fractions with denominator 8.

$$\frac{61}{8}+\frac{22}{8}$$

Since \frac{61}{8} and \frac{22}{8} have the same denominator, add them by adding their numerators.

$$\frac{61+22}{8}$$

Add 61 and 22 to get 83.

$$\frac{83}{8}$$

Factor

$$\frac{83}{2 ^ {3}} = 10\frac{3}{8} = 10.375$$