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