Question

10
$-\frac{5}{6} + \frac{1}{3}$

Explanation:

Step1: Find a common denominator

The denominators are 6 and 3. The least common denominator is 6. Rewrite $\frac{1}{3}$ with denominator 6: $\frac{1}{3}=\frac{1\times2}{3\times2}=\frac{2}{6}$

Step2: Add the fractions

Now we have $-\frac{5}{6}+\frac{2}{6}$. Add the numerators: $-5 + 2=-3$. So the result is $\frac{-3}{6}$

Step3: Simplify the fraction

Simplify $\frac{-3}{6}$ by dividing numerator and denominator by their greatest common divisor, which is 3: $\frac{-3\div3}{6\div3}=-\frac{1}{2}$

Answer:

$-\frac{1}{2}$