How to find the ratio:
1) Convert any mixed numbers to fractions.
12 1/2 = 25/2
18 3/4 = 75/4
We now have:
12 1/2 : 18 3/4 = 25/2 : 75/4
2) Convert fractions to whole numbers by eliminating the denominator.
LCD (least common denominator)(25/2, 75/4) = 4
We now have:
12 1/2 : 18 3/4 = 50/4 : 75/4
Now that the fractions have similar denominators, we can multiply both by 4 to eliminate the denominators.
Now we have 12 1/2 : 18 3/4 = 50 : 75
3) We can now reduce the ratio further with the greatest common factor (GCF).
The GCF of 50 and 75 is 25
Divide both terms by the GCF, 25:
50 ÷ 25 = 2
75 ÷ 25 = 3
50 : 75 = 2 : 3
Therefore:
<u>12 1/2 : 18 3/4 = 2 : 3</u>
