Mathematics
Grade5
Easy
Question
On Wednesday John read 5/16 of the book. On Saturday, he reads 4/8 of the book. The fraction of the book has John read on Wednesday and Saturday is___.
Hint:
In this question it is given that John read 5/16 of the book on Wednesday. On Saturday, he reads 4/8 of the book. We have to find that how much more does john read on Saturday. This is can be found by subtracting the fraction 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 subtract them
So, 
and 
So, we will multiply the numerator of by and numerator of by 
.
So, John reads 
amount more on saturday
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