Q35. - Algebra 1

Question

The simplified form of $-\frac{1}{6}-\frac{2}{3}$.

Step-by-Step Solution

Answer

The simplified form of $-\frac{1}{6}-\frac{2}{3}$ is $-\frac{5}{6}$.

Step 1.

The statement “$-\frac{1}{6}-\frac{2}{3}$.”

Step 2. Concept.

When two negative fractions with different denominators are added then the two unlike fractions are converted into like fractions by multiplying the denominators with a common factor of their lowest common multiple (LCM) and then accordingly adding the two.

Step 3. Calculation.

Consider the provided statement “$\frac{13}{20}-\frac{2}{5}$.”

 

Recall that when two fractions with different denominators are subtracted then the two unlike fractions are converted into like fractions by multiplying the denominators with a common factor of their lowest common multiple (LCM) and then accordingly adding the two.

 

LCM of 6 and 3 is 6.

 

So, multiply $\frac{2}{3}$ by 2 in both numerator and denominator,

 

Thus, the given expression can be simplified as,