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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 #1313 : Common Core Math: Grade 5

Fill in the blank with the correct symbol.

$111\times\frac{2}{10}$ ____________ 111

Possible Answers:

Correct answer:

Explanation:

Without doing any of the computations, we can determine that

$111\times\frac{2}{10}<111$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

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Example Question #1314 : Common Core Math: Grade 5

Fill in the blank with the correct symbol.

$120\times\frac{3}{10}$ ____________ 120

Possible Answers:

Correct answer:

Explanation:

Without doing any of the computations, we can determine that

$120\times\frac{3}{910}<120$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

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Example Question #1315 : Common Core Math: Grade 5

Fill in the blank with the correct symbol.

____________ $10\times\frac{1}{2}$

Possible Answers:

Correct answer:

Explanation:

Without doing any of the computations, we can determine that

$10>10\times\frac{1}{2}$ because when we multiply a whole number by a fraction, the size of the product will be less than then number because we are taking a part of the number.

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Example Question #1 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

A recipe calls for $\frac{3}{4}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$1\frac{1}{2}\ cups$

$2\frac{3}{4}\ cups$

$1\frac{1}{4}\ cups$

$1\ cup$

$1\frac{1}{3}\ cups$

Correct answer:

$1\frac{1}{2}\ cups$

Explanation:

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Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Sara collected $\small \frac{2}{9}$ of a bag of leaves. Joe collected $\small 7$ times as many bags as Sara. How many bags did Joe collect?

Possible Answers:

$\small 1\frac{3}{9}$

$\small \frac{9}{13}$

$\small \frac{9}{14}$

$\small 1\frac{5}{9}$

$\small \frac{5}{9}$

Correct answer:

$\small 1\frac{5}{9}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{7}{1}\times\frac{2}{9}=\frac{14}{9}$

$\small \frac{14}{9}=1\frac{5}{9}$ Because $\small 9$ can go into $\small 14$ only $\small 1$ time and $\small \frac{5}{9}$ is left over.

Joe collected $\small 1\frac{5}{9}$ bags of leaves.

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Example Question #1316 : Common Core Math: Grade 5

Alison collected $\small \frac{1}{5}$ of a bag of leaves. Karen collected $\small 6$ times as many bags as Alison. How many bags did Karen collect?

Possible Answers:

$\small \frac{2}{3}$

$\small 1\frac{1}{6}$

$\small 1\frac{1}{5}$

$\small \frac{6}{7}$

$\small \frac{3}{6}$

Correct answer:

$\small 1\frac{1}{5}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

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

$\small \frac{6}{5}=1\frac{1}{5}$ Because $\small 5$ can go into only $\small 1$ time and $\small \frac{1}{5}$ is left over.

Karen collected $\small 1\frac{1}{5}$ bags of leaves.

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Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Jess collected $\small \frac{2}{3}$ of a bag of leaves. Sam collected times as many bags as Jess. How many bags did Sam collect?

Possible Answers:

$\small \frac{2}{18}$

$\small 4$

$\small \frac{1}{9}$

$\small \frac{7}{5}$

Correct answer:

$\small 4$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{6}{1}\times\frac{2}{3}=\frac{12}{3}$

$\small \frac{12}{3}=4$ Because can go into an even times.

Sam collected bags of leaves.

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Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Kara collected $\small \frac{5}{7}$ of a bag of leaves. Drew collected times as many bags as Kara. How many bags did Drew collect?

Possible Answers:

$\small 2\frac{1}{7}$

$\small 1\frac{1}{7}$

$\small \frac{6}{10}$

$\small \frac{5}{21}$

$\small 1\frac{8}{7}$

Correct answer:

$\small 2\frac{1}{7}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{3}{1}\times\frac{5}{7}=\frac{15}{7}$

$\small \frac{15}{7}=2\frac{1}{7}$ Because can go into only $\small 2$ times and $\small \frac{1}{7}$ is left over.

Drew collected $\small 2\frac{1}{7}$ bags of leaves.

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Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Jenny collected $\small \frac{9}{11}$ of a bag of leaves. Brian collected times as many bags as Jenny. How many bags did Brian collect?

Possible Answers:

$\small 3\frac{3}{11}$

$\small \frac{9}{44}$

$\small 4\frac{3}{11}$

$\small \frac{44}{9}$

$\small \frac{5}{7}$

Correct answer:

$\small 3\frac{3}{11}$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over Then we multiply like normal.

$\small \frac{4}{1}\times\frac{9}{11}=\frac{36}{11}$

$\small \frac{36}{11}=3\frac{3}{11}$ Because $\small 11$ can go into $\small 36$ only $\small 3$ times and $\small \frac{3}{11}$ is left over.

Brian collected $\small 3\frac{3}{11}$ bags of leaves.

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Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Liz collected $\small \frac{3}{4}$ of a bag of leaves. Tammy collected $\small 12$ times as many bags as Liz. How many bags did Tammy collect?

Possible Answers:

$\small \frac{3}{48}$

$\small 9$

$\small \frac{48}{3}$

$\small 7$

$\small 8$

Correct answer:

$\small 9$

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over $\small 1.$ Then we multiply like normal.

$\small \frac{12}{1}\times\frac{3}{4}=\frac{36}{4}$

$\small \frac{36}{4}=9$ Because $\small 4$ can go into $\small 36$ an even $\small 9$ times.

Tammy collected $\small 9$ bags of leaves.

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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 #1313 : Common Core Math: Grade 5

Example Question #1314 : Common Core Math: Grade 5

Example Question #1315 : Common Core Math: Grade 5

Example Question #1 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #1316 : Common Core Math: Grade 5

Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #4 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #2 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #3 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

All Common Core: 5th Grade Math Resources

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