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Simplify the fraction:
[tex]\[ \frac{45}{60} \][/tex]

Answer :

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

1. Identify the Greatest Common Divisor (GCD):
To simplify a fraction, you need to find the greatest common divisor of the numerator and the denominator. The greatest common divisor of 45 and 60 is 15.

2. Divide Both the Numerator and Denominator by the GCD:
Divide the numerator (45) and the denominator (60) by their GCD (15):

[tex]\[
\text{Simplified numerator} = \frac{45}{15} = 3
\][/tex]

[tex]\[
\text{Simplified denominator} = \frac{60}{15} = 4
\][/tex]

3. Write the Simplified Fraction:
After dividing by the GCD, the fraction simplifies to [tex]\( \frac{3}{4} \)[/tex].

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

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