Question

I'm so confused
The ratio of f to g is 3 : 2.
The ratio of g to h is 3 : 1.
Find the ratio f : g : h in its simplest form.

Answer 1

lemme give u the steps for this

Answer 2

Since the numbers 9, 6, and 2 have a GCD of 1, the ratio is already in its simplest form.

Thus, the simplest form of the ratio
𝑓:𝑔:ℎ
is:
9:6:2

Answer 3

f : g = 3 : 2
This means for every 3 parts of f, there are 2 parts of g.

g : h = 3 : 1
This means for every 3 parts of g, there is 1 part of h.
To find the ratio f : g : h, we need to find a common multiple for the 'g' parts in both ratios. The least common multiple of 2 and 3 is 6.

Let's adjust the ratios to have 6 parts of g in each:

f : g = 3 : 2
To get 6 parts of g, we multiply both sides by 3:
f : g = 9 : 6

g : h = 3 : 1
To get 6 parts of g, we multiply both sides by 2:
g : h = 6 : 2

Answer 4

I'm prolly wrong-

Answer 5

not its correct

Answer 6

ofc cuz I'm smart

Answer 7

I'm still confused- I'm not good at ratios

Answer 8

How do you get the 9 and 6?

Answer 9

Deriving the Combined Ratio
Expressing 𝑓 and ℎ in terms of 𝑔
Equating the expressions for g
solve for x n y
sub back f,g,h
write the combo ratio
express, simplify