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# Comparing fractions with different denominators

Example:
Jason and Ron sell the same amount of tickets. Jason sold 5/24 of his tickets. Ron sold 7/36 of his tickets. Who sold more tickets?
Solution:
We need to compare the two fractions 5/24 and 7/36.
Both of fractions have different numerators and different denominators.
Comparing these two fractions using the common denominator
Steps to compare two fractions with different denominators and different numerators
Step 1: Find the least common denominator of fractions 5/24 and 7/36
24: 1 × 24 = 24, 2 × 24 = 48, 3 × 24 = 72, 4 × 24 = 96,
36: 1 × 36 = 36, 2 × 36 = 72.
Note: 24 × 3 = 72 and 36 × 2 = 72.
So 72 is the least common denominator of fractions 5/24 and 7/36.
Step 2: Make these two fractions have the same denominator
5/24 × 3/3 = 15/72
7/36 × 2/2 = 14/72
72 is the common denominator of fractions 15/72 and 14/72
Since 15 > 14
So 15/72 > 14/72
That is, 5/24 > 7/36
Therefore, Jason sold more tickets than Ron.