Question
4. \( \begin{array}{r}2 \frac{4}{10} \\ +5 \frac{5}{10} \\ \hline\end{array} \)
Ask by Summers Sherman. in the United States
Jan 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sum is \(7 \frac{9}{10}\).
Solution
To solve the addition of the two mixed numbers:
\[
\begin{array}{r}
2 \frac{4}{10} \\
+ \, 5 \frac{5}{10} \\
\hline
\end{array}
\]
**Step 1: Add the Whole Numbers**
\[
2 + 5 = 7
\]
**Step 2: Add the Fractional Parts**
\[
\frac{4}{10} + \frac{5}{10} = \frac{9}{10}
\]
**Step 3: Combine the Sums**
\[
7 + \frac{9}{10} = 7 \frac{9}{10}
\]
**Final Answer:**
\[
7 \frac{9}{10}
\]
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Simplify this solution Mind Expander
To add \(2 \frac{4}{10}\) and \(5 \frac{5}{10}\), first convert the mixed numbers into improper fractions. 1. For \(2 \frac{4}{10}\), multiply 2 by 10 and add 4 (the numerator), giving you \(\frac{24}{10}\). 2. For \(5 \frac{5}{10}\), multiply 5 by 10 and add 5, which gives you \(\frac{55}{10}\). Now, add the two improper fractions: \[ \frac{24}{10} + \frac{55}{10} = \frac{79}{10} \] Next, convert \(\frac{79}{10}\) back to a mixed number: 79 divided by 10 is 7 with a remainder of 9, giving you \(7 \frac{9}{10}\). So, \(2 \frac{4}{10} + 5 \frac{5}{10} = 7 \frac{9}{10}\).
