Given that 12a = 20b, find the ratio of a to b in simplest form.

Expert Answers
hala718 eNotes educator| Certified Educator

12a = 20b .

To find the ratio a:b, we need to find a/b.

==> But we are given that 12a = 20b

Then we will divide by 12.

==> a = 20b/12

Now we will simplify the fraction.

==> a = 5b/3.

Now we will substitute into a/b.

==> a/b = (5b/3) / b

==> a/b = (5b)/3b

We will reduce b.

==> a/b = 5/3.

Then, the ratio a:b is 5:3.