11.6k views
5 votes
If a:b=2:5 and b:c=3:4, find a:b:c

User Adam Burry
by
8.6k points

1 Answer

7 votes

Rewrite the ratios in such a way that the number that corresponds to b is the same in both.

Since a:b = 2:5 and b:c = 3:4, then, the numbers that correspond to b are 5 and 3.

The least common multiple of 3 and 5 is 15. Multiply the first ratio by 3 and the second ratio by 5 in order to get two ratios with the same number for b:


\begin{gathered} a:b=2:5 \\ =2\cdot3:5\cdot3 \\ =6:15 \\ \\ b:c=3:4 \\ =3\cdot5:4\cdot5 \\ =15:20 \end{gathered}

Since a:b = 6:15 and b:c = 15:20, then:


a:b:c=6:15:20

Therefore, the answer is: a:b:c = 6:15:20.

User Andreas Sewe
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories