Answer:
a : c = 3 : 20
Step-by-step explanation:
Given ratios:
- a : b = 2 : 5
- b : c = 3 : 8
The value of b is 3 and 5.
The lowest common multiple of 3 and 5 is 15.
Multiply each ratio by a factor of 15 so that b is 15.
Multiply ratio a : b by 3:
⇒ a : b = 6 : 15
Multiply ratio b : c by 5:
⇒ b : c = 15 : 40
Therefore:
⇒ a : b : c = 6 : 15 : 40
So a : c is:
⇒ a : c = 6 : 40
Simplest form:
⇒ a : c = 3 : 20
