Answer :

To find an equivalent fraction for [tex]\(\frac{14}{15}\)[/tex] with a denominator of 60, follow these steps:

1. Determine the Scaling Factor:
You need to find out how much you need to multiply the denominator (15) to get the new denominator (60).

[tex]\[
\text{Scaling Factor} = \frac{60}{15} = 4
\][/tex]

2. Apply the Scaling Factor to the Numerator:
Multiply the numerator (14) by the scaling factor to find the new numerator.

[tex]\[
\text{New Numerator} = 14 \times 4 = 56
\][/tex]

3. Write the Equivalent Fraction:
The equivalent fraction of [tex]\(\frac{14}{15}\)[/tex] with a denominator of 60 is [tex]\(\frac{56}{60}\)[/tex].

So, [tex]\(\frac{14}{15} = \frac{56}{60}\)[/tex].

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