Mathematics
Grade5
Easy
Question
Charles ate 
of the plum cake in the morning and 
of the cream cake in the evening. Find the amount of cake he ate in all.
Hint:
In this question it is given that Charles ate of the plum cake in the morning and of the cream cake in the evening and we have to find how much of total Charles ate. For that we have to add the denominator 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 there is no common factor so we will multiply all the factors.
LCM (,) = 
LCM (,) = 
Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then add them
So, 
and 
So, we will multiply the numerator of by and numerator of by .
So, Charles ate total of .
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