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.