Common Core: 5th Grade Math : Number & Operations with Fractions

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

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Example Questions

Example Question #1032 : Common Core Math: Grade 5

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 #1033 : Common Core Math: Grade 5

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #1034 : Common Core Math: Grade 5

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #1035 : Common Core Math: Grade 5

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #152 : 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

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #153 : 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

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #1038 : Common Core Math: Grade 5

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #1039 : Common Core Math: Grade 5

A baker has  cakes to make this weekend. If he has  of sugar, how much sugar does can he put in each cake, assuming each cake's recipe calls for an equal amount of sugar? 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 sugar over the number of cakes to be made. 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 #1041 : Common Core Math: Grade 5

A teacher baked  cookies for her class of  students. How many cookies does each student get, assuming that each student gets the same number of cookies? 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 cookies over the number of students in the class. 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 #1042 : Common Core Math: Grade 5

A teacher baked  cookies for her class of  students. How many cookies does each student get, assuming that each student gets the same number of cookies? 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 cookies over the number of students in the class. 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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