Answer :

To solve the problem [tex]\(\frac{13}{15} = \frac{\|}{45}\)[/tex], we need to find the missing numerator that makes the two fractions equivalent.

Here’s a step-by-step guide to solving it:

1. Understand the Problem:
- We have an equation of two fractions: [tex]\(\frac{13}{15}\)[/tex] and [tex]\(\frac{\|}{45}\)[/tex].
- We need to find the value that should replace the [tex]\(\|\)[/tex] to make the two fractions equal.

2. Set up the Equation:
- When two fractions are equal, their cross-products are also equal. This is known as cross-multiplication.
- So, we set up the equation: [tex]\(13 \times 45 = \| \times 15\)[/tex].

3. Perform the Cross-Multiplication:
- Calculate [tex]\(13 \times 45\)[/tex], which equals 585.

4. Solve for the Missing Numerator:
- Using the equation from step 2: [tex]\(585 = \| \times 15\)[/tex].
- To find the value of [tex]\(\|\)[/tex], divide both sides of the equation by 15: [tex]\(\| = \frac{585}{15}\)[/tex].

5. Calculate the Result:
- Divide 585 by 15 to get 39.

6. Conclusion:
- The missing number in the fraction is 39.

So, the complete fraction that makes the equation true is [tex]\(\frac{39}{45}\)[/tex].

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