Solve 45/8+73/4

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

Evaluate

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

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{32+5}{8}+\frac{7\times 4+3}{4}$$

Add 32 and 5 to get 37.

$$\frac{37}{8}+\frac{7\times 4+3}{4}$$

Multiply 7 and 4 to get 28.

$$\frac{37}{8}+\frac{28+3}{4}$$

Add 28 and 3 to get 31.

$$\frac{37}{8}+\frac{31}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{37}{8} and \frac{31}{4} to fractions with denominator 8.

$$\frac{37}{8}+\frac{62}{8}$$

Since \frac{37}{8} and \frac{62}{8} have the same denominator, add them by adding their numerators.

$$\frac{37+62}{8}$$

Add 37 and 62 to get 99.

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

Factor

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