To simplify the fraction [tex]\(\frac{64}{72}\)[/tex], we need to follow these steps:
1. Identify the Numerator and Denominator:
- The numerator is 64.
- The denominator is 72.
2. Find the Greatest Common Divisor (GCD):
- We need to determine the greatest common divisor of 64 and 72. Here, the GCD of 64 and 72 is 8.
3. Divide Both the Numerator and the Denominator by Their GCD:
- Divide the numerator by the GCD:
[tex]\[
\frac{64}{8} = 8
\][/tex]
- Divide the denominator by the GCD:
[tex]\[
\frac{72}{8} = 9
\][/tex]
4. Write the Simplified Fraction:
- After dividing both the numerator and the denominator by their GCD, the simplified fraction is:
[tex]\[
\frac{64}{72} = \frac{8}{9}
\][/tex]
Therefore, the simplified form of the fraction [tex]\(\frac{64}{72}\)[/tex] is [tex]\(\frac{8}{9}\)[/tex].
