Solve -5/26-(-75/6)

$$- \frac{ 5 }{ 26 } -(- \frac{ 75 }{ 6 } )$$

Evaluate

$$\frac{160}{13}\approx 12.307692308$$

Solution Steps

Reduce the fraction \frac{75}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{5}{26}-\left(-\frac{25}{2}\right)$$

The opposite of -\frac{25}{2} is \frac{25}{2}.

$$-\frac{5}{26}+\frac{25}{2}$$

Least common multiple of 26 and 2 is 26. Convert -\frac{5}{26} and \frac{25}{2} to fractions with denominator 26.

$$-\frac{5}{26}+\frac{325}{26}$$

Since -\frac{5}{26} and \frac{325}{26} have the same denominator, add them by adding their numerators.

$$\frac{-5+325}{26}$$

Add -5 and 325 to get 320.

$$\frac{320}{26}$$

Reduce the fraction \frac{320}{26} to lowest terms by extracting and canceling out 2.

$$\frac{160}{13}$$

Factor

$$\frac{2 ^ {5} \cdot 5}{13} = 12\frac{4}{13} = 12.307692307692308$$