Question
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Tutor-Verified Answer
Answer
\( 4 \frac{2}{3} \)
Solution
To add the mixed numbers \( 2 \frac{1}{3} + 2 \frac{1}{3} \), follow these steps:
1. **Add the whole numbers:**
\[
2 + 2 = 4
\]
2. **Add the fractional parts:**
\[
\frac{1}{3} + \frac{1}{3} = \frac{2}{3}
\]
3. **Combine the sums:**
\[
4 + \frac{2}{3} = 4 \frac{2}{3}
\]
So,
\[
2 \frac{1}{3} + 2 \frac{1}{3} = 4 \frac{2}{3}
\]
**Answer:** \( 4 \frac{2}{3} \)
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Simplify this solution The Deep Dive
To add these mixed numbers, first convert them into improper fractions. \( 2 \frac{1}{3} \) becomes \( \frac{7}{3} \). Now, add them together: \[ \frac{7}{3} + \frac{7}{3} = \frac{14}{3} \] Now, convert \( \frac{14}{3} \) back to a mixed number, which is \( 4 \frac{2}{3} \). So, \( 2 \frac{1}{3} + 2 \frac{1}{3} = 4 \frac{2}{3} \)! And remember, mixed numbers can be tricky, so keep an eye on that whole number and fractional part! It’s easy to forget to convert back after adding.
