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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

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Example Question #1079 : Common Core Math: Grade 5

Aubtin ordered a $97\textup{ inch}$ 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

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:

$\small \frac{97\textup{ inches}}{10\textup{ pieces}}$

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:

$10\times 9=90$

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

97-90=7

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:

$\frac{7}{10}$

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

$\small \frac{97}{10}=9\frac{7}{10}$

Last, we know that $9\frac{7}{10}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #201 : 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

Aubtin ordered a $108\textup{ inch}$ 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

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:

$\small \frac{108\textup{ inches}}{10\textup{ pieces}}$

can go into 108 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:

$10\times 10=100$

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

108-100=8

Then, we put the difference over the denominator:

$\frac{8}{10}$

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

$\small \frac{108}{10}=10\frac{8}{10}$

Last, we know that $10\frac{8}{10}$ is between the numbers and ; therefore, the correct answer is:

and

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Example Question #173 : Fractions

$\small 10$ people are sharing a $\small 73$ -pound bag of peanuts. If the peanuts are distributed evenly, how many pounds of peanuts will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 5$ and $\small 6$

$\small 7$ and $\small 8$

$\small 6$ and $\small 7$

$\small 4$ and $\small 5$

$\small 8$ and $\small 9$

Correct answer:

$\small 7$ and $\small 8$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{73}{10}=7\frac{3}{10}$

$\small 10$ can go into $\small 73$ only $\small 7$ times with $\small \frac{3}{10}$ left over.

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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

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #1079 : Common Core Math: Grade 5

Example Question #201 : 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 #173 : Fractions

All Common Core: 5th Grade Math Resources

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