Answer:
24 does not work as a common denominator because it is not the Lowest Common Multiple of 6, 4 and 5.
Explanation:
In that above question, we are told that:
A student is trying to find the sum of 5/6 + 3/4 + 1/5
Step 1
The first step would be to find the Lowest Common Multiple of the denominators (6, 4, 5).
Lowest Common Multiple can be defined as the number that is the lowest quantity of the multiple of 2 or 3 number.
The lowest common multiple for 6, 4, 5 = 60. This is that number that the 3 denominators can be divided in
Hence,
5/6 + 3/4 + 1/5
= 5 × 10 + 3 × 15 + 12× 1/60
= 50 + 45 + 12/60
= 107/60
= 1 47/60
24 does not work because it is not the Lowest Common Multiple of 6, 4 and 5.
The lowest common multiple for the 3 denominators = 60, therefore 60 should be used.