Solve 35/20-9/15

$$\frac { 35 } { 20 } - \frac { 9 } { 15 }$$

Evaluate

$$\frac{23}{20}=1.15$$

Solution Steps

Reduce the fraction \frac{35}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{4}-\frac{9}{15}$$

Reduce the fraction \frac{9}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}-\frac{3}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{7}{4} and \frac{3}{5} to fractions with denominator 20.

$$\frac{35}{20}-\frac{12}{20}$$

Since \frac{35}{20} and \frac{12}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-12}{20}$$

Subtract 12 from 35 to get 23.

$$\frac{23}{20}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15$$