Given that 18f=33g,what would the ratio of f to g in simplest form?
18f = 33g
f/g = 33/18 = 11/6
To find the ratio of f to g in simplest form, we need to simplify the given equation 18f = 33g.
To do this, we can divide both sides of the equation by the greatest common divisor (GCD) of 18 and 33. Let's find the GCD of 18 and 33:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 33: 1, 3, 11, 33
The common factors of 18 and 33 are 1 and 3. The GCD is 3.
Divide both sides of the equation by 3:
(18f) / 3 = (33g) / 3
6f = 11g
Now, the equation is simplified. The ratio of f to g in simplest form is 6:11.