Solve 1/7-1/5/2

$$\frac{ \frac{ 1 }{ 7 } - \frac{ 1 }{ 5 } }{ 2 }$$

Evaluate

$$-\frac{1}{35}\approx -0.028571429$$

Solution Steps

Least common multiple of 7 and 5 is 35. Convert \frac{1}{7} and \frac{1}{5} to fractions with denominator 35.

$$\frac{\frac{5}{35}-\frac{7}{35}}{2}$$

Since \frac{5}{35} and \frac{7}{35} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-7}{35}}{2}$$

Subtract 7 from 5 to get -2.

$$\frac{-\frac{2}{35}}{2}$$

Express \frac{-\frac{2}{35}}{2} as a single fraction.

$$\frac{-2}{35\times 2}$$

Multiply 35 and 2 to get 70.

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

Reduce the fraction \frac{-2}{70} to lowest terms by extracting and canceling out 2.

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

Factor

$$-\frac{1}{35} = -0.02857142857142857$$