Solve 3/7-9/6

$$\frac { 3 } { 7 } - \frac { 9 } { 6 }$$

Evaluate

$$-\frac{15}{14}\approx -1.071428571$$

Solution Steps

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{7}-\frac{3}{2}$$

Least common multiple of 7 and 2 is 14. Convert \frac{3}{7} and \frac{3}{2} to fractions with denominator 14.

$$\frac{6}{14}-\frac{21}{14}$$

Since \frac{6}{14} and \frac{21}{14} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-21}{14}$$

Subtract 21 from 6 to get -15.

$$-\frac{15}{14}$$

Factor

$$-\frac{15}{14} = -1\frac{1}{14} = -1.0714285714285714$$