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Common Core: 4th Grade Math : Number & Operations: Fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Select the answer choice that is equal to $6\times\frac{7}{10}$

Possible Answers:

$42\times\frac{1}{10}$

$22\times\frac{1}{10}$

$15\times\frac{1}{10}$

$48\times\frac{1}{10}$

$36\times\frac{1}{10}$

Correct answer:

$42\times\frac{1}{10}$

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{6}{1}\times\frac{7}{10}=\frac{42}{10}$

$\frac{42}{1}\times\frac{1}{10}=\frac{42}{10}$

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Example Question #733 : Fractions

Select the answer choice that is equal to $7\times\frac{7}{10}$

Possible Answers:

$40\times\frac{1}{10}$

$20\times\frac{2}{10}$

$40\times\frac{2}{10}$

$49\times\frac{1}{10}$

$20\times\frac{1}{10}$

Correct answer:

$49\times\frac{1}{10}$

Explanation:

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{7}{1}\times\frac{7}{10}=\frac{49}{10}$

$\frac{49}{1}\times\frac{1}{10}=\frac{49}{10}$

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Example Question #1 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Andy is having a party. If each person at a party will eat $\frac{3}{8}$ of a pound of peanuts, and there will be people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{4}{1}\times\frac{3}{8}=\frac{12}{8}$

$\frac{12}{8}=1\frac{4}{8}$ because can go into one time, with left over.

$1\frac{4}{8}$ is between the whole numbers and .

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Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Andy is having a party. If each person at a party will eat $\frac{4}{8}$ of a pound of peanuts, and there will be people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{7}{1}\times\frac{4}{8}=\frac{28}{8}$

$\frac{28}{8}=3\frac{4}{8}$ because can go into three times, with left over.

$3\frac{4}{8}$ is between the whole numbers and .

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Example Question #3 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Andy is having a party. If each person at a party will eat $\frac{2}{8}$ of a pound of peanuts, and there will be people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{15}{1}\times\frac{2}{8}=\frac{30}{8}$

$\frac{30}{8}=3\frac{6}{8}$ because can go into three times, with left over.

$3\frac{6}{8}$ is between the whole numbers and .

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Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Sara is having her family over for a cookout. If each person at the cookout will eat $\frac{1}{4}$ of a pound of hamburger, and there will be people at the cookout, how many pounds of hamburger will Sara need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{5}{1}\times\frac{1}{4}=\frac{5}{4}$

$\frac{5}{4}=1\frac{1}{4}$ because can go into one time, with left over.

$1\frac{1}{4}$ is between the whole numbers and .

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Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Sara is having her family over for a cookout. If each person at the cookout will eat $\frac{3}{4}$ of a pound of hamburger, and there will be people at the cookout, how many pounds of hamburger will Sara need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{10}{1}\times\frac{3}{4}=\frac{30}{4}$

$\frac{30}{4}=7\frac{2}{4}$ because can go into seven times, with left over.

$7\frac{2}{4}$ is between the whole numbers and .

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Example Question #1221 : Numbers And Operations

Sara is having her family over for a cookout. If each person at the cookout will eat $\frac{2}{4}$ of a pound of hamburger, and there will be people at the cookout, how many pounds of hamburger will Sara need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{7}{1}\times\frac{2}{4}=\frac{14}{4}$

$\frac{14}{4}=3\frac{2}{4}$ because can go into three times, with left over.

$3\frac{2}{4}$ is between the whole numbers and .

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Example Question #6 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Linda is having her friends over for a game night. If each person at the game night will drink $\frac{1}{5}$ of a liter of soda, and there will be people at the game night, how many liters of soda will Linda need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{17}{1}\times\frac{1}{5}=\frac{17}{5}$

$\frac{17}{5}=3\frac{2}{5}$ because can go into three times, with left over.

$3\frac{2}{5}$ is between the whole numbers and .

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Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Linda is having her friends over for a game night. If each person at the game night will drink $\frac{2}{5}$ of a liter of soda, and there will be people at the game night, how many liters of soda will Linda need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

and

Correct answer:

and

Explanation:

$\frac{6}{1}\times\frac{2}{5}=\frac{12}{5}$

$\frac{12}{5}=2\frac{2}{5}$ because can go into two times, with left over.

$2\frac{2}{5}$ is between the whole numbers and .

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Number & Operations: Fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #21 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Example Question #733 : Fractions

Example Question #1 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #3 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #1221 : Numbers And Operations

Example Question #6 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Number & Operations: Fractions

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #21 : Multiply A Fraction And A Whole Number By Understanding A Multiple Of A/B As A Multiple Of 1/B: Ccss.Math.Content.4.Nf.B.4b

Example Question #733 : Fractions

Example Question #1 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #3 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #2 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #1221 : Numbers And Operations

Example Question #6 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #4 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Number & Operations: Fractions