To simplify the ratio [tex]\(28:24\)[/tex] to its simplest form, follow these steps:
1. Find the Greatest Common Divisor (GCD): Determine the largest number that divides both 28 and 24 without leaving a remainder. The GCD of 28 and 24 is 4.
2. Divide both the numerator and the denominator by the GCD:
- Divide the numerator (28) by the GCD (4):
[tex]\[
\frac{28}{4} = 7.0
\][/tex]
- Divide the denominator (24) by the GCD (4):
[tex]\[
\frac{24}{4} = 6.0
\][/tex]
3. Write the simplified form of the ratio: The simplified form of the ratio [tex]\(28:24\)[/tex] is [tex]\(7.0: 6.0\)[/tex].
So, the greatest common divisor (GCD) is 4, and the simplified ratio is [tex]\(7.0:6.0\)[/tex].
