7/18 of them were men and 11/24 of them were ladies.the remaining were children.what fraction of them were children and how many children were present?

Question

Find out number of men and women and the fraction of children and the number of children???

Answer 1

Looking at the denominators of the two fractions, what is the LCM of 18 and 24?

18 = 2 * 9 = 2 * 3 * 3
24 = 2 * 12 = 2 * 2 * 6 = 2 * 2 * 2 * 3

The LCM of 18 and 24 is 2 * 2 * 2 * 3 * 3 = 72

7/18 is equivalent to 28/72
11/24 is equivalent to 33/72

Now that we have a common denominator of 72, we can add the two fractions.

28/72 + 33/72 = 61/72

If the remainder of the people were children, then we can subtract 1 - 61/72 to determine the fraction that were children.

1 = 72/72

72/72 - 61/72 = 11/72

 

There is not enough information in the problem to determine exactly how many children were present. There could have been 11, 22, 33, etc. All we can say based on the information provided is that the fraction of the group consisting of children is 11/72.