Question
Please solve each problem. 1) \( \frac{1}{5} \times 9= \) 2) \( \frac{1}{3} \times 8= \) 3) \( \frac{2}{8} \times 2= \) 4) \( \frac{1}{2} \times 4= \) 5) \( \frac{2}{6} \times 3= \)
Ask by Pena Knight. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
1. \( \frac{1}{5} \times 9 = \frac{9}{5} \) or \( 1 \frac{4}{5} \)
2. \( \frac{1}{3} \times 8 = \frac{8}{3} \) or \( 2 \frac{2}{3} \)
3. \( \frac{2}{8} \times 2 = \frac{1}{2} \)
4. \( \frac{1}{2} \times 4 = 2 \)
5. \( \frac{2}{6} \times 3 = 1 \)
Solution
Sure, I'd be happy to help you solve each of these problems step by step!
---
**1) \( \frac{1}{5} \times 9 = \)**
**Solution:**
\[
\frac{1}{5} \times 9 = \frac{9}{5}
\]
\[
\frac{9}{5} = 1 \frac{4}{5}
\]
**Answer:** \( \frac{9}{5} \) or \( 1 \frac{4}{5} \)
---
**2) \( \frac{1}{3} \times 8 = \)**
**Solution:**
\[
\frac{1}{3} \times 8 = \frac{8}{3}
\]
\[
\frac{8}{3} = 2 \frac{2}{3}
\]
**Answer:** \( \frac{8}{3} \) or \( 2 \frac{2}{3} \)
---
**3) \( \frac{2}{8} \times 2 = \)**
**Solution:**
First, simplify the fraction:
\[
\frac{2}{8} = \frac{1}{4}
\]
Now multiply:
\[
\frac{1}{4} \times 2 = \frac{2}{4} = \frac{1}{2}
\]
**Answer:** \( \frac{1}{2} \)
---
**4) \( \frac{1}{2} \times 4 = \)**
**Solution:**
\[
\frac{1}{2} \times 4 = \frac{4}{2} = 2
\]
**Answer:** \( 2 \)
---
**5) \( \frac{2}{6} \times 3 = \)**
**Solution:**
First, simplify the fraction:
\[
\frac{2}{6} = \frac{1}{3}
\]
Now multiply:
\[
\frac{1}{3} \times 3 = 1
\]
**Answer:** \( 1 \)
---
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Extra Insights
Sure! Let’s solve these problems one by one. 1) \( \frac{1}{5} \times 9 = \frac{9}{5} \) or 1.8. 2) \( \frac{1}{3} \times 8 = \frac{8}{3} \) or approximately 2.67. 3) \( \frac{2}{8} \times 2 = \frac{2}{4} = \frac{1}{2} \) or 0.5. 4) \( \frac{1}{2} \times 4 = 2. \) 5) \( \frac{2}{6} \times 3 = \frac{1}{3} \times 3 = 1. \) So the answers are: 1) 1.8 2) approximately 2.67 3) 0.5 4) 2 5) 1