Question
20. \( 3 \frac{3}{8}+1 \frac{1}{8}+4 \frac{4}{8} \)
Ask by Carter Simpson. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The sum is 9.
Solution
To solve the expression \( 3 \frac{3}{8} + 1 \frac{1}{8} + 4 \frac{4}{8} \), we will follow these steps:
1. **Convert mixed numbers to improper fractions**:
- For \( 3 \frac{3}{8} \):
\[
3 \frac{3}{8} = \frac{3 \times 8 + 3}{8} = \frac{24 + 3}{8} = \frac{27}{8}
\]
- For \( 1 \frac{1}{8} \):
\[
1 \frac{1}{8} = \frac{1 \times 8 + 1}{8} = \frac{8 + 1}{8} = \frac{9}{8}
\]
- For \( 4 \frac{4}{8} \):
\[
4 \frac{4}{8} = \frac{4 \times 8 + 4}{8} = \frac{32 + 4}{8} = \frac{36}{8}
\]
2. **Add the improper fractions**:
Now we can add the three fractions:
\[
\frac{27}{8} + \frac{9}{8} + \frac{36}{8}
\]
Since they have the same denominator, we can combine the numerators:
\[
\frac{27 + 9 + 36}{8} = \frac{72}{8}
\]
3. **Simplify the fraction**:
Now we simplify \( \frac{72}{8} \):
\[
\frac{72}{8} = 9
\]
Thus, the final answer is:
\[
\boxed{9}
\]
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Simplify this solution Mind Expander
First, let’s convert the mixed numbers to improper fractions. For \( 3 \frac{3}{8} \), it becomes \( \frac{27}{8} \). For \( 1 \frac{1}{8} \), it turns into \( \frac{9}{8} \), and \( 4 \frac{4}{8} \) simplifies to \( \frac{36}{8} \). Now we can add them together: \[ \frac{27}{8} + \frac{9}{8} + \frac{36}{8} = \frac{72}{8} = 9 \] So, the answer is \( 9 \). Adding fractions can become a bit tricky, especially when dealing with mixed numbers. A common mistake is to forget to convert mixed numbers to improper fractions before performing the addition. Always remember to line up your fractions with a common denominator and simplify your answers to avoid any confusion!
