Question
Question 5 Add \( 13 \frac{5}{8} \) and \( 16 \frac{1}{8} \). Simplify the answer and write as a mixed number. Question Help: \( \square \) Video \( \square \) Message instructor \( D \) Post to forum Submit Ouestion
Ask by Byrd Moreno. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The sum of \( 13 \frac{5}{8} \) and \( 16 \frac{1}{8} \) is \( 29 \frac{3}{4} \).
Solution
To add the mixed numbers \( 13 \frac{5}{8} \) and \( 16 \frac{1}{8} \), follow these steps:
1. **Add the whole numbers:**
\[
13 + 16 = 29
\]
2. **Add the fractional parts:**
\[
\frac{5}{8} + \frac{1}{8} = \frac{6}{8}
\]
3. **Simplify the fractional sum:**
\[
\frac{6}{8} = \frac{3}{4} \quad \text{(by dividing numerator and denominator by 2)}
\]
4. **Combine the sums:**
\[
29 + \frac{3}{4} = 29 \frac{3}{4}
\]
**Final Answer:**
\[
29 \frac{3}{4}
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To add the two mixed numbers, start by adding the whole numbers: \( 13 + 16 = 29 \). Next, add the fractional parts \( \frac{5}{8} + \frac{1}{8} = \frac{6}{8} \), which simplifies to \( \frac{3}{4} \). Combine the whole number and the simplified fraction: \( 29 + \frac{3}{4} = 29 \frac{3}{4} \). Now you have \( 29 \frac{3}{4} \) as your final answer. Easy peasy!
