Answer :

To simplify the fraction [tex]\(\frac{45}{60}\)[/tex], follow these steps:

1. Find the Greatest Common Divisor (GCD) of 45 and 60:

The Greatest Common Divisor (GCD) is the largest number that divides both numbers without leaving a remainder. For the numbers 45 and 60, the GCD is 15.

2. Divide both the numerator and the denominator by the GCD:

- Numerator: [tex]\( \frac{45}{15} = 3 \)[/tex]
- Denominator: [tex]\( \frac{60}{15} = 4 \)[/tex]

3. Write the simplified fraction:

After dividing both the numerator and the denominator by their GCD, the simplified fraction is:

[tex]\[
\frac{45}{60} = \frac{3}{4}
\][/tex]

So the simplified form of the fraction [tex]\(\frac{45}{60}\)[/tex] is [tex]\(\frac{3}{4}\)[/tex].

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