Solve 3/20+75/8

$$\frac{ 3 }{ 20 } +7 \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{311}{40}=7.775$$

Solution Steps

Multiply 7 and 8 to get 56.

$$\frac{3}{20}+\frac{56+5}{8}$$

Add 56 and 5 to get 61.

$$\frac{3}{20}+\frac{61}{8}$$

Least common multiple of 20 and 8 is 40. Convert \frac{3}{20} and \frac{61}{8} to fractions with denominator 40.

$$\frac{6}{40}+\frac{305}{40}$$

Since \frac{6}{40} and \frac{305}{40} have the same denominator, add them by adding their numerators.

$$\frac{6+305}{40}$$

Add 6 and 305 to get 311.

$$\frac{311}{40}$$

Factor

$$\frac{311}{2 ^ {3} \cdot 5} = 7\frac{31}{40} = 7.775$$