Solve 35/8+49/20

$$3 \frac { 5 } { 8 } + 4 \frac { 9 } { 20 }$$

Evaluate

$$\frac{323}{40}=8.075$$

Solution Steps

Multiply 3 and 8 to get 24.

$$\frac{24+5}{8}+\frac{4\times 20+9}{20}$$

Add 24 and 5 to get 29.

$$\frac{29}{8}+\frac{4\times 20+9}{20}$$

Multiply 4 and 20 to get 80.

$$\frac{29}{8}+\frac{80+9}{20}$$

Add 80 and 9 to get 89.

$$\frac{29}{8}+\frac{89}{20}$$

Least common multiple of 8 and 20 is 40. Convert \frac{29}{8} and \frac{89}{20} to fractions with denominator 40.

$$\frac{145}{40}+\frac{178}{40}$$

Since \frac{145}{40} and \frac{178}{40} have the same denominator, add them by adding their numerators.

$$\frac{145+178}{40}$$

Add 145 and 178 to get 323.

$$\frac{323}{40}$$

Factor

$$\frac{17 \cdot 19}{2 ^ {3} \cdot 5} = 8\frac{3}{40} = 8.075$$