Question

Determine the missing number.
$2\frac{7}{9}+2\frac{6}{7}=5\frac{\left[\right]}{63}$

• A. 46
• B. 37
• C. 40
• D. 34

Answer 1

The correct option is C 40

Add $2\frac{7}{9}+2\frac{6}{7}$.
$2\frac{7}{9}$ and $2\frac{6}{7}$ are mixed numbers. Convert them into a fraction greater than 1.
$2\frac{7}{9}=2+\frac{7}{9}=\frac{18}{9}+\frac{7}{9}=\frac{25}{9}$
$2\frac{6}{7}=2+\frac{6}{7}=\frac{14}{7}+\frac{6}{7}=\frac{20}{7}$
Now $\frac{25}{9}$ and $\frac{20}{7}$ are unlike fractions, make them like fractions by finding equivalent fractions.
$\frac{25}{9}=\frac{25\times 7}{9\times 7}=\frac{175}{63}$
$\frac{20}{7}=\frac{20\times 9}{7\times 9}=\frac{180}{63}$
Add $\frac{175}{63}$and $\frac{180}{63}$
$\frac{175}{63}+\frac{180}{63}=\frac{175+180}{63}=\frac{355}{63}=5\frac{40}{63}$
So, the missing number is $40$.
Hence, Option A is correct.