Answer :

To find a fraction that is equivalent to [tex]\(\frac{13}{15}\)[/tex], we need to multiply both the numerator and the denominator of the fraction by the same number. This is because multiplying by the same number doesn't change the value of the fraction.

Step-by-step solution:

1. Choose a common factor: Let's use 2 as the factor to multiply both the numerator and the denominator.

2. Multiply the numerator and the denominator:
- Multiply the numerator by 2: [tex]\(13 \times 2 = 26\)[/tex].
- Multiply the denominator by 2: [tex]\(15 \times 2 = 30\)[/tex].

3. Form the equivalent fraction: The new fraction, after multiplying the numerator and the denominator by 2, is [tex]\(\frac{26}{30}\)[/tex].

Thus, [tex]\(\frac{13}{15}\)[/tex] is equivalent to [tex]\(\frac{26}{30}\)[/tex].

This process is known as creating an equivalent fraction through scaling both terms by the same number, and the value of the fraction remains unchanged.

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