To reduce the fraction [tex]\(\frac{36}{48}\)[/tex] to its lowest terms, follow these steps:
1. Identify the Greatest Common Divisor (GCD):
- First, find the greatest common divisor (GCD) of the numerator (36) and the denominator (48). The GCD is the largest number that divides both 36 and 48 without leaving a remainder.
2. Divide Both Numerator and Denominator by the GCD:
- Once you have the GCD, divide the numerator and the denominator by this GCD to simplify the fraction.
Let's consider the example provided:
1. Finding the GCD:
- The GCD of 36 and 48 is 12.
2. Reducing the fraction:
- Divide the numerator (36) by the GCD (12):
[tex]\[
\text{Reduced numerator} = \frac{36}{12} = 3
\][/tex]
- Divide the denominator (48) by the GCD (12):
[tex]\[
\text{Reduced denominator} = \frac{48}{12} = 4
\][/tex]
Thus, the fraction [tex]\(\frac{36}{48}\)[/tex] reduces to [tex]\(\frac{3}{4}\)[/tex].
Therefore, the answer is:
A. [tex]\(\frac{3}{4}\)[/tex]
