Solve 7/45-7/20

$$\frac { 7 } { 45 } - \frac { 7 } { 20 }$$

Evaluate

$$-\frac{7}{36}\approx -0.194444444$$

Solution Steps

Least common multiple of 45 and 20 is 180. Convert \frac{7}{45} and \frac{7}{20} to fractions with denominator 180.

$$\frac{28}{180}-\frac{63}{180}$$

Since \frac{28}{180} and \frac{63}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{28-63}{180}$$

Subtract 63 from 28 to get -35.

$$\frac{-35}{180}$$

Reduce the fraction \frac{-35}{180} to lowest terms by extracting and canceling out 5.

$$-\frac{7}{36}$$

Factor

$$-\frac{7}{36} = -0.19444444444444445$$