Solve 87/41-66/20

$$\frac { 87 } { 41 } - \frac { 66 } { 20 }$$

Evaluate

$$-\frac{483}{410}\approx -1.17804878$$

Solution Steps

Reduce the fraction \frac{66}{20} to lowest terms by extracting and canceling out 2.

$$\frac{87}{41}-\frac{33}{10}$$

Least common multiple of 41 and 10 is 410. Convert \frac{87}{41} and \frac{33}{10} to fractions with denominator 410.

$$\frac{870}{410}-\frac{1353}{410}$$

Since \frac{870}{410} and \frac{1353}{410} have the same denominator, subtract them by subtracting their numerators.

$$\frac{870-1353}{410}$$

Subtract 1353 from 870 to get -483.

$$-\frac{483}{410}$$

Factor

$$-\frac{483}{410} = -1\frac{73}{410} = -1.1780487804878048$$