write the ratio as a fraction in simplest form in two ways for 64/24
Your question is not about algebra.
For a fraction in lowest terms, look for the largest common divisor. In this case, it is 8.
64/24 = 8*8/(3*8) = 8/3
If it is a fraction and in lowest terms, that is the only way to write it. The other would be as a mixed number: 2 2/3
8 1/3 - 2 3/8
To write the ratio 64/24 as a fraction in simplest form, we need to find the greatest common divisor (GCD) of the numerator and the denominator.
Step 1: Find the GCD of 64 and 24
To find the GCD, we can use the Euclidean algorithm.
Divide 64 by 24:
64 ÷ 24 = 2 remainder 16
Then divide 24 by 16:
24 ÷ 16 = 1 remainder 8
Finally, divide 16 by 8:
16 ÷ 8 = 2 remainder 0
The GCD of 64 and 24 is 8.
Step 2: Simplify the fraction
To simplify the fraction 64/24, divide both the numerator and denominator by the GCD.
64 ÷ 8 = 8
24 ÷ 8 = 3
The simplified fraction is 8/3.
Therefore, the ratio 64/24 as a fraction in simplest form is 8/3.
Two different ways to write this ratio can be:
1. As a proper fraction: 8/3
2. As a mixed number: 2 2/3 (which means 2 whole units and 2/3 as a fraction)