Solve 1/20+11/8)*18/5

$$\frac { 1 } { 20 } + \frac { 11 } { 8 } ) \cdot \frac { 18 } { 5 }$$

Evaluate

$$\frac{57}{40}=1.425$$

Solution Steps

Least common multiple of 20 and 8 is 40. Convert \frac{1}{20} and \frac{11}{8} to fractions with denominator 40.

$$\frac{2}{40}+\frac{55}{40}$$

Since \frac{2}{40} and \frac{55}{40} have the same denominator, add them by adding their numerators.

$$\frac{2+55}{40}$$

Add 2 and 55 to get 57.

$$\frac{57}{40}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {3} \cdot 5} = 1\frac{17}{40} = 1.425$$