Solve 7/9-7/5:3/5

$$\frac { 7 } { 9 } - \frac { 7 } { 5 } : \frac { 3 } { 5 }$$

Evaluate

$$-\frac{14}{9}\approx -1.555555556$$

Solution Steps

Divide \frac{7}{5} by \frac{3}{5} by multiplying \frac{7}{5} by the reciprocal of \frac{3}{5}.

$$\frac{7}{9}-\frac{7}{5}\times \frac{5}{3}$$

Multiply \frac{7}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{9}-\frac{7\times 5}{5\times 3}$$

Cancel out 5 in both numerator and denominator.

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

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

$$\frac{7}{9}-\frac{21}{9}$$

Since \frac{7}{9} and \frac{21}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-21}{9}$$

Subtract 21 from 7 to get -14.

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

Factor

$$-\frac{14}{9} = -1\frac{5}{9} = -1.5555555555555556$$