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

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

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All Common Core: 5th Grade Math Resources

7 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #105 : 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

Identify the division problem that equals the following:

$\frac{13}{15}$

Possible Answers:

$15\div14$

$15\div13$

$14\div15$

$13\div15$

Correct answer:

$13\div15$

Explanation:

The fraction line (-) means divided by; therefore, we can read $\frac{13}{15}$ as divided by , or $13\div15$

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Example Question #106 : 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

Identify the division problem that equals the following:

$\frac{3}{15}$

Possible Answers:

$15\div3$

$2\div15$

$15\div2$

$3\div15$

Correct answer:

$3\div15$

Explanation:

The fraction line (-) means divided by; therefore, we can read $\frac{3}{15}$ as divided by , or $3\div15$

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Example Question #107 : 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

Identify the division problem that equals the following:

$\frac{12}{15}$

Possible Answers:

$15\div11$

$12\div15$

$15\div12$

$11\div15$

Correct answer:

$12\div15$

Explanation:

The fraction line (-) means divided by; therefore, we can read $\frac{12}{15}$ as divided by , or $12\div15$

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Example Question #108 : 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

Identify the division problem that equals the following:

$\frac{4}{15}$

Possible Answers:

$15\div5$

$15\div4$

$4\div15$

$5\div15$

Correct answer:

$4\div15$

Explanation:

The fraction line (-) means divided by; therefore, we can read $\frac{4}{15}$ as divided by , or $4\div15$

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Example Question #109 : 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 $25\textup{ pounds}$ 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

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:

$\small \frac{25\textup{ pounds of sugar}}{7\textup{ cakes}}$

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:

$7\times 3=21$

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

25-21=4

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:

$\frac{4}{7}$

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

$\small \frac{25}{7}=3\frac{4}{7}$

Last, we know that $3\frac{4}{7}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #110 : 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 $24\textup{ pounds}$ 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

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:

$\small \frac{24\textup{ pounds of sugar}}{5\textup{ cakes}}$

Simple multiplication reveals the following:

$5\times 4=20$

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

24-20=4

Then, we put the difference over the denominator:

$\frac{4}{5}$

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

$\small \frac{24}{5}=4\frac{4}{5}$

Last, we know that $4\frac{4}{5}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #111 : 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 $27\textup{ pounds}$ 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

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:

$\small \frac{27\textup{ pounds of sugar}}{4\textup{ cakes}}$

Simple multiplication reveals the following:

$4\times 6=24$

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

27-24=3

Then, we put the difference over the denominator:

$\frac{3}{4}$

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

$\small \frac{27}{4}=6\frac{3}{4}$

Last, we know that $6\frac{3}{4}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #988 : Common Core Math: Grade 5

A baker has cakes to make this weekend. If he has $30\textup{ pounds}$ 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

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:

$\small \frac{30\textup{ pounds of sugar}}{7\textup{ cakes}}$

Simple multiplication reveals the following:

$7\times 4=28$

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

30-28=2

Then, we put the difference over the denominator:

$\frac{2}{7}$

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

$\small \frac{30}{7}=4\frac{2}{7}$

Last, we know that $4\frac{2}{7}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #138 : Number & Operations With Fractions

A baker has cakes to make this weekend. If he has $26\textup{ pounds}$ 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

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:

$\small \frac{26\textup{ pounds of sugar}}{9\textup{ cakes}}$

Simple multiplication reveals the following:

$9\times 2=18$

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

26-18=8

Then, we put the difference over the denominator:

$\frac{8}{9}$

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

$\small \frac{26}{9}=2\frac{8}{9}$

Last, we know that $2\frac{8}{9}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #114 : 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 $31\textup{ pounds}$ 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

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:

$\small \frac{31\textup{ pounds of sugar}}{5\textup{ cakes}}$

Simple multiplication reveals the following:

$5\times 6=30$

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

31-30=1

Then, we put the difference over the denominator:

$\frac{1}{5}$

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

$\small \frac{31}{5}=6\frac{1}{5}$

Last, we know that $6\frac{1}{5}$ is between the numbers and ; therefore, the correct answer is:

and

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All Common Core: 5th Grade Math Resources

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

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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #105 : 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

Example Question #106 : 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

Example Question #107 : 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

Example Question #108 : 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

Example Question #109 : 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

Example Question #110 : 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

Example Question #111 : 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

Example Question #988 : Common Core Math: Grade 5

Example Question #138 : Number & Operations With Fractions

Example Question #114 : 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

All Common Core: 5th Grade Math Resources

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