Solve 75/8+43/4

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

Evaluate

$$\frac{99}{8}=12.375$$

Solution Steps

Multiply 7 and 8 to get 56.

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

Add 56 and 5 to get 61.

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

Multiply 4 and 4 to get 16.

$$\frac{61}{8}+\frac{16+3}{4}$$

Add 16 and 3 to get 19.

$$\frac{61}{8}+\frac{19}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{61}{8} and \frac{19}{4} to fractions with denominator 8.

$$\frac{61}{8}+\frac{38}{8}$$

Since \frac{61}{8} and \frac{38}{8} have the same denominator, add them by adding their numerators.

$$\frac{61+38}{8}$$

Add 61 and 38 to get 99.

$$\frac{99}{8}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 ^ {3}} = 12\frac{3}{8} = 12.375$$