Solve 4/13-26/65

$$\frac { 4 } { 13 } - \frac { 26 } { 65 }$$

Evaluate

$$-\frac{6}{65}\approx -0.092307692$$

Solution Steps

Reduce the fraction \frac{26}{65} to lowest terms by extracting and canceling out 13.

$$\frac{4}{13}-\frac{2}{5}$$

Least common multiple of 13 and 5 is 65. Convert \frac{4}{13} and \frac{2}{5} to fractions with denominator 65.

$$\frac{20}{65}-\frac{26}{65}$$

Since \frac{20}{65} and \frac{26}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-26}{65}$$

Subtract 26 from 20 to get -6.

$$-\frac{6}{65}$$

Factor

$$-\frac{6}{65} = -0.09230769230769231$$