Solve 7/26-8/28

$$\frac { 7 } { 26 } - \frac { 8 } { 28 }$$

Evaluate

$$-\frac{3}{182}\approx -0.016483516$$

Solution Steps

Reduce the fraction \frac{8}{28} to lowest terms by extracting and canceling out 4.

$$\frac{7}{26}-\frac{2}{7}$$

Least common multiple of 26 and 7 is 182. Convert \frac{7}{26} and \frac{2}{7} to fractions with denominator 182.

$$\frac{49}{182}-\frac{52}{182}$$

Since \frac{49}{182} and \frac{52}{182} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-52}{182}$$

Subtract 52 from 49 to get -3.

$$-\frac{3}{182}$$

Factor

$$-\frac{3}{182} = -0.016483516483516484$$