Solve 8/20-41/98

$$\frac{ 8 }{ 20 } - \frac{ 41 }{ 98 }$$

Evaluate

$$-\frac{9}{490}\approx -0.018367347$$

Solution Steps

Reduce the fraction \frac{8}{20} to lowest terms by extracting and canceling out 4.

$$\frac{2}{5}-\frac{41}{98}$$

Least common multiple of 5 and 98 is 490. Convert \frac{2}{5} and \frac{41}{98} to fractions with denominator 490.

$$\frac{196}{490}-\frac{205}{490}$$

Since \frac{196}{490} and \frac{205}{490} have the same denominator, subtract them by subtracting their numerators.

$$\frac{196-205}{490}$$

Subtract 205 from 196 to get -9.

$$-\frac{9}{490}$$

Factor

$$-\frac{9}{490} = -0.018367346938775512$$