Question

Officer John needs our help in adding $2\frac{1}{15},9\frac{7}{15},$ and $12\frac{5}{15}$. Add and choose the correct option.

• A. $23\frac{12}{15}$
• B. $2\frac{13}{15}$
• C. $23\frac{13}{15}$
• D. $21\frac{12}{13}$

Answer 1

The correct option is C $23\frac{13}{15}$

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

● Now, let's solve it.
$2\frac{1}{15}+9\frac{7}{15}+12\frac{5}{15}$

● Here, in these 3 mixed fractions, the whole parts are 2, 9, and 12, and the fractional parts are $\frac{1}{15},\frac{7}{15},$ and $\frac{5}{15}$

● So, we will add 2, 9, and 12 together and $\frac{1}{15},\frac{7}{15},$ and $\frac{5}{15}$ together.

● This means, $2\frac{1}{15}+9\frac{7}{15}+12\frac{5}{15}=2+\frac{1}{15}+9+\frac{7}{15}+12+\frac{5}{15}$

$=2+9+12+\frac{1}{15}+\frac{7}{15}+\frac{5}{15}$

$=23+\frac{13}{15}$

$=23\frac{13}{15}$

Hence, option A is the correct option.