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To solve for \( A \), \( B \), and \( C \) in the equivalent fractions, we need to ensure all fractions are equal. Let's break it down:

1. **Determine \( A \):**
   \[
   \frac{1}{A} = \frac{3}{9}
   \]
   To find \( A \), set the two fractions equal to each other:
   \[
   1 \times 9 = 3 \times A \implies 9 = 3A \implies A = \frac{9}{3} = 3
   \]
   So, \( A = 3 \).

2. **Determine \( B \):**
   \[
   \frac{3}{9} = \frac{B}{15}
   \]
   Set the two fractions equal and cross-multiply:
   \[
   3 \times 15 = 9 \times B \implies 45 = 9B \implies B = \frac{45}{9} = 5
   \]
   So, \( B = 5 \).

3. **Determine \( C \):**
   \[
   \frac{B}{15} = \frac{7}{C} \quad \text{(using } B = 5 \text{)}
   \]
   Set the two fractions equal and cross-multiply:
   \[
   5 \times C = 7 \times 15 \implies 5C = 105 \implies C = \frac{105}{5} = 21
   \]
   So, \( C = 21 \).

### Final values:
- \( A = 3 \)
- \( B = 5 \)
- \( C = 21 \)

Would you like any further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How can you verify if two fractions are equivalent?
2. If \(\frac{1}{3} = \frac{4}{x}\), what is \( x \)?
3. Can a fraction with a numerator of 0 be equivalent to any non-zero fraction?
4. What is the general method for finding the equivalent of any given fraction?
5. If \( \frac{a}{b} = \frac{c}{d} \), how would you solve for \( d \)?

**Tip:** Always cross-multiply to check if two fractions are equivalent.

Work out the numbers that should replace A, B, and C in these equivalent fractions: 1/A = 3/9 = B/15 = 7/C.

Solve for A, B, and C in the equivalent fractions 1/A = 3/9 = B/15 = 7/C. Learn step-by-step how to use cross-multiplication to find values for the variables, a key concept for students in Grades 6-8.

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