Common Core: 5th Grade Math : Solve Word Problems Involving Division of Whole Numbers Leading to Answers in the Form of Fractions or Mixed Numbers: CCSS.Math.Content.5.NF.B.3

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #141 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #1020 : Common Core Math: Grade 5

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 19

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #161 : Number & Operations With Fractions

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #162 : Number & Operations With Fractions

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #141 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #171 : Number & Operations With Fractions

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #146 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Megan has  days to sell  boxes of cookies. How many boxes does she need to sell each day, assuming she sells the same number of boxes per day? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the amount of boxes of cookies over the number of days Megan has to sell the cookies. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #147 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Joe ordered a  sub. If he splits the sub into  equal pieces, how long will each piece be? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the size of the sub over the number of pieces to be cut. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #172 : Number & Operations With Fractions

Joe ordered a  sub. If he splits the sub into  equal pieces, how long will each piece be? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the size of the sub over the number of pieces to be cut. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

Example Question #173 : Number & Operations With Fractions

Joe ordered a  sub. If he splits the sub into  equal pieces, how long will each piece be? Select the answer that contains the pair of numbers that the answer falls between. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number by placing the size of the sub over the number of pieces to be cut. We get the following:

 can go into  only  times. In other words, we are looking for the number that when multiplied by the denominator gets us as close to the numerator as possible, without going over the value of the numerator.

Simple multiplication reveals the following:

In order to find out what is left over, we must subtract this number from the numerator.

 

The difference will always be less than the denominator from the original improper fraction. If it is not, then check your work in the previous step because this means that the denominator could have been divided into the numerator at least one more time.

Then, we put the difference over the denominator:

 

Let's solve for the entire improper fraction by putting these values together and forming a mixed number:

Last, we know that  is between the numbers  and ; therefore, the correct answer is:

 and 

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