Solve 9/14-(3/14+2/5)

$$\frac{ 9 }{ 14 } -( \frac{ 3 }{ 14 } + \frac{ 2 }{ 5 } )$$

Evaluate

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

Solution Steps

Least common multiple of 14 and 5 is 70. Convert \frac{3}{14} and \frac{2}{5} to fractions with denominator 70.

$$\frac{9}{14}-\left(\frac{15}{70}+\frac{28}{70}\right)$$

Since \frac{15}{70} and \frac{28}{70} have the same denominator, add them by adding their numerators.

$$\frac{9}{14}-\frac{15+28}{70}$$

Add 15 and 28 to get 43.

$$\frac{9}{14}-\frac{43}{70}$$

Least common multiple of 14 and 70 is 70. Convert \frac{9}{14} and \frac{43}{70} to fractions with denominator 70.

$$\frac{45}{70}-\frac{43}{70}$$

Since \frac{45}{70} and \frac{43}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-43}{70}$$

Subtract 43 from 45 to get 2.

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

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

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

Factor

$$\frac{1}{5 \cdot 7} = 0.02857142857142857$$