Solve 9/7-75/9

$$\frac{ 9 }{ 7 } - \frac{ 75 }{ 9 }$$

Evaluate

$$-\frac{148}{21}\approx -7.047619048$$

Solution Steps

Reduce the fraction \frac{75}{9} to lowest terms by extracting and canceling out 3.

$$\frac{9}{7}-\frac{25}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{9}{7} and \frac{25}{3} to fractions with denominator 21.

$$\frac{27}{21}-\frac{175}{21}$$

Since \frac{27}{21} and \frac{175}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-175}{21}$$

Subtract 175 from 27 to get -148.

$$-\frac{148}{21}$$

Factor

$$-\frac{148}{21} = -7\frac{1}{21} = -7.0476190476190474$$