Question

Given that a:b = 4:5 and b:c=3.2 find the ratio a:b:c in its simplest form

Answer 1

A:b = 4:5
b:c=3:2
b was 5 then it was 3, so you have to find the common multiple which is 15.
you’d have to times the 4 (a) by 3 since that 5x3 is 15
you’d have to times the 2 (c) by 5 since 5x3 is 15 again.
therefore the answer would be
a:b:c
12:15:10
I hope this makes sense it was kinda hard to explain sorry :)

Answer 2

Hello,

Step-by-step explanation:

$\frac{a}{4} = \frac{b}{5}$  and  $\frac{b}{3} = \frac{c}{2}$

or 5a = 4b and 2b = 3c ⇔ 15a = 12b and 10b = 15c

In fractions :

$\frac{a}{12} = \frac{b}{15}$  and $\frac{b}{15} = \frac{c}{10}$

We have :

a:b:c = 12:15:10