https://file.aiquickdraw.com/mathbot/file/1726408370816qcft1crp.jpg

To find which fraction is nearest to \( \frac{1}{5} \), let's compare the given fractions.

The fractions provided are:

\[
\frac{3}{10}, \quad \frac{5}{20}, \quad \frac{7}{30}, \quad \frac{11}{60}
\]

We will first convert these fractions to decimal form for easy comparison and also convert \( \frac{1}{5} \) to its decimal form.

### Step 1: Convert \( \frac{1}{5} \) to decimal
\[
\frac{1}{5} = 0.2
\]

### Step 2: Convert the provided fractions to decimal
\[
\frac{3}{10} = 0.3, \quad \frac{5}{20} = 0.25, \quad \frac{7}{30} \approx 0.2333, \quad \frac{11}{60} \approx 0.1833
\]

### Step 3: Compare the decimals with \( 0.2 \)

- \( 0.3 \) (from \( \frac{3}{10} \)) is 0.1 away from 0.2.
- \( 0.25 \) (from \( \frac{5}{20} \)) is 0.05 away from 0.2.
- \( 0.2333 \) (from \( \frac{7}{30} \)) is 0.0333 away from 0.2.
- \( 0.1833 \) (from \( \frac{11}{60} \)) is 0.0167 away from 0.2.

### Conclusion
The fraction \( \frac{11}{60} \) is the closest to \( \frac{1}{5} \), with a difference of approximately 0.0167.

Let me know if you need further clarification or details!

Here are 5 related questions to explore:
1. What is the decimal equivalent of \( \frac{1}{7} \)?
2. How can you convert a repeating decimal back into a fraction?
3. How would the comparison change if the target fraction was \( \frac{1}{4} \)?
4. Why is converting fractions to decimals a helpful method for comparing fractions?
5. How can we simplify fractions to make comparison easier?

**Tip:** When comparing fractions to a target value, converting them to decimals can be a quick and effective way to judge their proximity.

Which of the following fractions is nearest to 1/5? (Options: 3/10, 5/20, 7/30, 11/60)

Learn how to compare fractions to find which one is nearest to 1/5. This problem involves converting fractions to decimals for comparison, with options including 3/10, 5/20, 7/30, and 11/60. Suitable for students in Grades 5-7.

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