Solve 4/12-9/7

$$\frac{ 4 }{ 12 } - \frac{ 9 }{ 7 }$$

Evaluate

$$-\frac{20}{21}\approx -0.952380952$$

Solution Steps

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{3}-\frac{9}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{1}{3} and \frac{9}{7} to fractions with denominator 21.

$$\frac{7}{21}-\frac{27}{21}$$

Since \frac{7}{21} and \frac{27}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-27}{21}$$

Subtract 27 from 7 to get -20.

$$-\frac{20}{21}$$

Factor

$$-\frac{20}{21} \approx -0.952380952$$