Solve 7/107-8/108

$$\frac { 7 } { 107 } - \frac { 8 } { 108 }$$

Evaluate

$$-\frac{25}{2889}\approx -0.008653513$$

Solution Steps

Reduce the fraction \frac{8}{108} to lowest terms by extracting and canceling out 4.

$$\frac{7}{107}-\frac{2}{27}$$

Least common multiple of 107 and 27 is 2889. Convert \frac{7}{107} and \frac{2}{27} to fractions with denominator 2889.

$$\frac{189}{2889}-\frac{214}{2889}$$

Since \frac{189}{2889} and \frac{214}{2889} have the same denominator, subtract them by subtracting their numerators.

$$\frac{189-214}{2889}$$

Subtract 214 from 189 to get -25.

$$-\frac{25}{2889}$$

Factor

$$-\frac{25}{2889} = -0.008653513326410523$$