Solve 45/8+33/4

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

Evaluate

$$\frac{67}{8}=8.375$$

Solution Steps

Multiply 4 and 8 to get 32.

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

Add 32 and 5 to get 37.

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

Multiply 3 and 4 to get 12.

$$\frac{37}{8}+\frac{12+3}{4}$$

Add 12 and 3 to get 15.

$$\frac{37}{8}+\frac{15}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{37}{8} and \frac{15}{4} to fractions with denominator 8.

$$\frac{37}{8}+\frac{30}{8}$$

Since \frac{37}{8} and \frac{30}{8} have the same denominator, add them by adding their numerators.

$$\frac{37+30}{8}$$

Add 37 and 30 to get 67.

$$\frac{67}{8}$$

Factor

$$\frac{67}{2 ^ {3}} = 8\frac{3}{8} = 8.375$$