Question

5. What is the sum of 3 5/24, 6 7/24, and 9 9/24?,A. 14²/3B. 14 1/8C. 18 7/8D. 13 1/2

Answer 1

To answer this question, we can realize that we have mixed fractions. Then we need to add integers and fractions separately as follows:

1. We have:

$3\frac{5}{24}+6\frac{7}{24}+9\frac{9}{24}$

2. And this expression is equivalent to:

$3+\frac{5}{24}+6+\frac{7}{24}+9+\frac{9}{24}$

3. Now, we can add the integer parts, and the fractional parts separately as follows:

$(3+6+9)+(\frac{5}{24}+\frac{7}{24}+\frac{9}{24})$

4. Therefore:

$18+\frac{5+7+9}{24}=18+\frac{21}{24}$

5. We finally need to simplify the fraction, and then we will have:

$\begin{gathered} \frac{21}{24}=\frac{\frac{21}{3}}{\frac{24}{3}}=\frac{7}{8} \\ 18+\frac{7}{8}=18\frac{7}{8} \end{gathered}$

In summary, therefore, we have that the sum of the above fractions is:

$18\frac{7}{8}$

[Option C.]