Question

Officer David needs our help again in adding $5\frac{6}{11}+2\frac{1}{11}$. Add and choose the correct option.

• A. $5$
• B. $5\frac{7}{11}$
• C. $7\frac{7}{11}$
• D. $7$

Answer 1

The correct option is C $7\frac{7}{11}$

When we add 2 mixed fractions, we add their whole parts together and their fractional parts together.

● Example: Add $5\frac{6}{11}+2\frac{1}{11}$.

● Here, in these 2 mixed fractions, the whole parts are 5 and 2 and the fractional parts are $\frac{6}{11}$ and $\frac{1}{11}$

● So, we will add 5 and 2 together and $\frac{6}{11}$ and $\frac{1}{11}$ together.

● This means, $5\frac{6}{1}+2\frac{1}{11}=5+\frac{6}{11}+2+\frac{1}{11}$

$=5+2+\frac{6}{11}+\frac{1}{11}$

$=7+\frac{6+1}{11}$

$=7+\frac{7}{11}=7\frac{7}{11}$

Hence, the correct option is A.