Solve 1/35-1/10

$$\frac { 1 } { 35 } - \frac { 1 } { 10 }$$

Evaluate

$$-\frac{1}{14}\approx -0.071428571$$

Solution Steps

Least common multiple of 35 and 10 is 70. Convert \frac{1}{35} and \frac{1}{10} to fractions with denominator 70.

$$\frac{2}{70}-\frac{7}{70}$$

Since \frac{2}{70} and \frac{7}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-7}{70}$$

Subtract 7 from 2 to get -5.

$$\frac{-5}{70}$$

Reduce the fraction \frac{-5}{70} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{14}$$

Factor

$$-\frac{1}{14} = -0.07142857142857142$$