Question

If a : b = 7 : 8 and b : c = 12 : 7 then find a : c in the simplest form is 3:2

• A. True
• B. False

Answer 1

The correct option is A True

In the given ratios "b" is
the common term, and the values of b in both ratios are not equal.

To make them equal, find the L.C.M.
of values corresponding to b i.e., $8$ and $12$.
L.C.M. of $8$ and $12=24$
Therefore, an equivalent ratio of $a:b$ such that $b=24$ is $=7\times 3:8\times 3=21:24$

Similarly, an equivalent ratio of $b:c$ is $=12\times 2:7\times 2=24:14$
Therefore,$a:c=21:14$

Dividing by $7$

$a:c=3:2$