Mathematics
Grade5
Easy
Question
Angela's team practiced soccer for 
of an hour on Wednesday, and for 
of an hour on Friday. The total number of hours the team spent practicing soccer is _________.
Hint:
In this question it is given that Angela's team practiced soccer for of an hour on Wednesday, and for of an hour on Friday. In order to find the total time they practiced can be found by adding the fractions 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 5 and numerator of by 3.
So, Angela's team practiced a total of of an hour.
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