Mathematics
Grade5
Easy
Question
Subtract 
.
- 1
Hint:
In this question we have to subtract two fractions 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 prime factors of the denominators
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 subtract them
So, 
and 
So, we will multiply the numerator of by 
and numerator of by 
.
So, the answer of is 
which can simplified by dividing both numerator and denominator by .
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