Solve 7/106-5/86-1/66

$$\frac { 7 } { 106 } - \frac { 5 } { 86 } - \frac { 1 } { 66 }$$

Evaluate

$$-\frac{1091}{150414}\approx -0.007253314$$

Solution Steps

Least common multiple of 106 and 86 is 4558. Convert \frac{7}{106} and \frac{5}{86} to fractions with denominator 4558.

$$\frac{301}{4558}-\frac{265}{4558}-\frac{1}{66}$$

Since \frac{301}{4558} and \frac{265}{4558} have the same denominator, subtract them by subtracting their numerators.

$$\frac{301-265}{4558}-\frac{1}{66}$$

Subtract 265 from 301 to get 36.

$$\frac{36}{4558}-\frac{1}{66}$$

Reduce the fraction \frac{36}{4558} to lowest terms by extracting and canceling out 2.

$$\frac{18}{2279}-\frac{1}{66}$$

Least common multiple of 2279 and 66 is 150414. Convert \frac{18}{2279} and \frac{1}{66} to fractions with denominator 150414.

$$\frac{1188}{150414}-\frac{2279}{150414}$$

Since \frac{1188}{150414} and \frac{2279}{150414} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1188-2279}{150414}$$

Subtract 2279 from 1188 to get -1091.

$$-\frac{1091}{150414}$$

Factor

$$-\frac{1091}{150414} = -0.007253314186179478$$