Mathematics

Grade5

Easy

Question

Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. Find the total homework done by Nancy.

$\frac{2}{7}$
$\frac{12}{7}$
$\frac{7}{12}$
$\frac{8}{9}$

hint Hint:

In this question it is given that Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. In order to find the total work done by Nancy we need to add these fraction.

The correct answer is: $7 over 12$

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 : $1 third$ and $1 fourth$ .
In this question the denominators are $3$ and $4$ .
Factors of $3$ are: $3 to the power of 1$
Factors of $4$ are: $2 squared$
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 have to multiply all the factors.
LCM ( $3$ , $4$ ) = $2 squared cross times 3 to the power of 1$
LCM ( $3$ , $4$ ) = $12$
Step3: Now what we do is divide the LCM by each denominator and multiply the numerator by quotient and then add them
So, $12 over 3 equals 4$
and $12 over 4 equals 3$
So, we will multiply the numerator of $3$ by $4$ and numerator of $4$ by $3$ .
$fraction numerator 1 cross times 4 plus 1 cross times 3 over denominator 12 end fraction equals 7 over 12$

So, The total work done by Nancy is sum of : $1 third$ and $1 fourth$ is $7 over 12$ .

A recipe needs $3 over 4$ teaspoon black pepper and $1 fourth$ red pepper. ________ more black pepper is needed than red pepper for this recipe.

MathematicsGrade5

Grade5

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If I cut a pizza into 10 equal size pieces, and then I eat 3 of those pieces. Find the numerator and the denominator of the fraction representing the amount I ate?

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Identify the numerator in the fraction $7 over 9$ ?

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Nancy finished of her homework on Monday and of her homework on Tuesday. Find the total homework done by Nancy.

In this question it is given that Nancy finished of her homework on Monday and of her homework on Tuesday. In order to find the total work done by Nancy we need to add these fraction.

The correct answer is:

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Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. Find the total homework done by Nancy.

In this question it is given that Nancy finished $1 third$ of her homework on Monday and $1 fourth$ of her homework on Tuesday. In order to find the total work done by Nancy we need to add these fraction.

The correct answer is: $7 over 12$

A recipe needs $3 over 4$ teaspoon black pepper and $1 fourth$ red pepper. ________ more black pepper is needed than red pepper for this recipe.

A recipe needs $3 over 4$ teaspoon black pepper and $1 fourth$ red pepper. ________ more black pepper is needed than red pepper for this recipe.

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