Mathematics
Grade5
Easy
Question
A recipe needs teaspoon black pepper and red pepper. _____more black pepper is needed than red pepper for this recipe.
Hint:
This can be found out by subtracting the fraction 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 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, The amount of more red pepper needed is .
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