To reduce the fraction [tex]\(\frac{64}{72}\)[/tex] to its lowest terms, follow these steps:
1. Identify the Greatest Common Divisor (GCD) of the numerator and the denominator:
- The numerator is 64.
- The denominator is 72.
- The greatest common divisor (GCD) of 64 and 72 is 8.
2. Divide both the numerator and the denominator by their GCD:
- Divide the numerator (64) by the GCD (8):
[tex]\[
\frac{64}{8} = 8
\][/tex]
- Divide the denominator (72) by the GCD (8):
[tex]\[
\frac{72}{8} = 9
\][/tex]
3. Express the reduced fraction:
- Thus, the fraction [tex]\(\frac{64}{72}\)[/tex], when reduced to its lowest terms, is:
[tex]\[
\frac{8}{9}
\][/tex]
4. Summary:
- The fraction [tex]\(\frac{64}{72}\)[/tex] can be simplified to [tex]\(\frac{8}{9}\)[/tex].
Therefore, [tex]\(\frac{64}{72} = \frac{8}{9}\)[/tex] after reducing it to the lowest terms.
