https://file.aiquickdraw.com/mathbot/file/1724611372307t2v2laa0.jpg

To solve the problem in the image, let's address each fraction by converting the denominator to a power of 10 and then writing the decimal form of each fraction.

### Problem 2:
**Find the fraction of denominator as a power of 10 equal to each of the fractions below and then write their decimal form:**

Given fractions:
(a) \(\frac{1}{50}\)
(b) \(\frac{3}{40}\)
(c) \(\frac{12}{625}\)

### Step 1: Convert the denominators to powers of 10.
1. **Fraction (a) \(\frac{1}{50}\):**
   - To convert 50 to a power of 10, multiply both the numerator and the denominator by 2:
   \[
   \frac{1}{50} = \frac{1 \times 2}{50 \times 2} = \frac{2}{100}
   \]
   - Decimal form: \( \frac{2}{100} = 0.02 \)

2. **Fraction (b) \(\frac{3}{40}\):**
   - To convert 40 to a power of 10, multiply both the numerator and the denominator by 2.5:
   \[
   \frac{3}{40} = \frac{3 \times 2.5}{40 \times 2.5} = \frac{7.5}{100}
   \]
   - Decimal form: \( \frac{7.5}{100} = 0.075 \)

3. **Fraction (c) \(\frac{12}{625}\):**
   - To convert 625 to a power of 10, multiply both the numerator and the denominator by 1.6:
   \[
   \frac{12}{625} = \frac{12 \times 1.6}{625 \times 1.6} = \frac{19.2}{1000}
   \]
   - Decimal form: \( \frac{19.2}{1000} = 0.0192 \)

### Final Answers:
- (a) \( \frac{1}{50} = 0.02 \)
- (b) \( \frac{3}{40} = 0.075 \)
- (c) \( \frac{12}{625} = 0.0192 \)

Would you like more details or have any questions?

### Relative Questions:
1. What is the importance of converting fractions to decimal form?
2. How do you identify the appropriate multiplier to convert a denominator to a power of 10?
3. Can all fractions be easily converted to a denominator of a power of 10?
4. What are some real-world applications of converting fractions to decimals?
5. How does the size of the numerator affect the decimal form of a fraction?

### Tip:
When converting fractions to decimals, always check if the denominator can be easily multiplied to become a power of 10, which simplifies the conversion process.

Learn how to convert fractions to decimal form with a detailed step-by-step guide. Solve fractions like 1/50, 3/40, and 12/625 by converting their denominators to powers of 10 and writing their decimal equivalents. Suitable for Grades 5-7.

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