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2 votes
1/5 of the population cycle to work. If 2/3 of these cyclists ride mountain bikes, what fraction of the population cycle with mountain bikes to work?

User Prolific
by
5.3k points

1 Answer

4 votes

Explanation:

Let's change the denominator of


(1)/(5)

to 15 as it is the lowest common multiple of both denominators, 5 and 3.


(1)/(5) = (3)/(15)

Now, think of it this way, there are 15 people cycling and


(1)/(5)

of them cycle to work.


(1)/(5) = (3)/(15)


(3)/(15) * 15 = 3

Out of these 15 cyclists, 3 of them go to work. As


(2)/(3)

of these remainders cycle via mountain bikes, we can find how many people ride mountain bikes to work.


(2)/(3) * 3 = 2

As there was a total of 15 people at the start and 2 who rode mountain bikes to work, the fraction of the population who rides mountain bikes to work will be


2 / 15 = (2)/(15)

Short answer:


(1)/(5) * (2)/(3) = (2)/(15)

User AndreasW
by
5.8k points
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