Mathematics
Grade5
Easy
Question
Karen added 
of a can of water to her aquarium. Sarah added 
of a can of water to the aquarium. Sarah adds ___________ water than Karen
Hint:
In this question it is given that Karen added of a can of water to her aquarium and Sarah added of a can of water to the aquarium and we need to find how much more water does Sarah added than Karen . This can be found by subtracting the fraction and adding and for that we have to make denominator same this can be done by taking LCM. LCM is the least common multiple of two integers. We will use the prime factorization method to find the LCM. In prime factorization method the simply put the factor of each number and then for LCM we take product of factors by considering the repeated factors only one time with highest exponent.
The correct answer is:
Step1: First we will write all the fractions and then we will write the denominator and then we will use prime factorization method to add the fraction.
Fractions are and 
:
In this question the denominators are 
and 
.
Factors of are:
Factors of are:
Step2: For calculating the LCM we will multiply the factors by considering the common factors only one time with the highest exponent.
In this case the factor 
is common in both and so we will multiply it only once with the highest exponent
LCM (,) = 
LCM (,) = 
Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then subtracting them
So, 
and 
So, we will multiply the numerator of by 
and numerator of by 3.
So, Sarah adds more water than Karen.
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