Solve 9-3/10+5/20

$$9 - \frac { 3 } { 10 } + \frac { 5 } { 20 }$$

Evaluate

$$\frac{179}{20}=8.95$$

Solution Steps

Convert 9 to fraction \frac{90}{10}.

$$\frac{90}{10}-\frac{3}{10}+\frac{5}{20}$$

Since \frac{90}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-3}{10}+\frac{5}{20}$$

Subtract 3 from 90 to get 87.

$$\frac{87}{10}+\frac{5}{20}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{87}{10}+\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{87}{10} and \frac{1}{4} to fractions with denominator 20.

$$\frac{174}{20}+\frac{5}{20}$$

Since \frac{174}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

$$\frac{174+5}{20}$$

Add 174 and 5 to get 179.

$$\frac{179}{20}$$

Factor

$$\frac{179}{2 ^ {2} \cdot 5} = 8\frac{19}{20} = 8.95$$