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Common Core: 4th Grade Math : Solve Word Problems Involving Multiplication of a Fraction by a Whole Number: CCSS.Math.Content.4.NF.B.4c

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Example Questions

Example Question #211 : How To Multiply Fractions

Andy is having a party. If each person at a party will eat $\frac{3}{8}$ $\displaystyle \frac{3}{8}$ of a pound of peanuts, and there will be $\displaystyle 4$ 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:

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 2$ and $\displaystyle 3$

Correct answer:

$\displaystyle 1$ and $\displaystyle 2$

Explanation:

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

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

$1\frac{4}{8}$ $\displaystyle 1\frac{4}{8}$ is between the whole numbers $\displaystyle 1$ and $\displaystyle 2$ .

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Example Question #731 : Fractions

Andy is having a party. If each person at a party will eat $\frac{4}{8}$ $\displaystyle \frac{4}{8}$ of a pound of peanuts, and there will be $\displaystyle 7$ 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:

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 5$ and $\displaystyle 6$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

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

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

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

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Example Question #732 : Fractions

Andy is having a party. If each person at a party will eat $\frac{2}{8}$ $\displaystyle \frac{2}{8}$ of a pound of peanuts, and there will be $\displaystyle 15$ 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:

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 3$ and $\displaystyle 4$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

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

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

$3\frac{6}{8}$ $\displaystyle 3\frac{6}{8}$ is between the whole numbers $\displaystyle 3$ and $\displaystyle 4$ .

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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 $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a pound of hamburger, and there will be $\displaystyle 5$ 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:

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 4$ and $\displaystyle 5$

Correct answer:

$\displaystyle 1$ and $\displaystyle 2$

Explanation:

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

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

$1\frac{1}{4}$ $\displaystyle 1\frac{1}{4}$ is between the whole numbers $\displaystyle 1$ and $\displaystyle 2$ .

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Example Question #5 : 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 $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of a pound of hamburger, and there will be $\displaystyle 10$ 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:

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 4$ and $\displaystyle 5$

Correct answer:

$\displaystyle 7$ and $\displaystyle 8$

Explanation:

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

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

$7\frac{2}{4}$ $\displaystyle 7\frac{2}{4}$ is between the whole numbers $\displaystyle 7$ and $\displaystyle 8$ .

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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

Sara is having her family over for a cookout. If each person at the cookout will eat $\frac{2}{4}$ $\displaystyle \frac{2}{4}$ of a pound of hamburger, and there will be $\displaystyle 7$ 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:

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 6$ and $\displaystyle 7$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

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

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

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

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Example Question #7 : 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 $\frac{1}{5}$ $\displaystyle \frac{1}{5}$ of a liter of soda, and there will be $\displaystyle 17$ 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:

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 5$ and $\displaystyle 6$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

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

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

$3\frac{2}{5}$ $\displaystyle 3\frac{2}{5}$ is between the whole numbers $\displaystyle 3$ and $\displaystyle 4$ .

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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

Linda is having her friends over for a game night. If each person at the game night will drink $\frac{2}{5}$ $\displaystyle \frac{2}{5}$ of a liter of soda, and there will be $\displaystyle 6$ 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:

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 3$ and $\displaystyle 4$

Correct answer:

$\displaystyle 2$ and $\displaystyle 3$

Explanation:

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

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

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

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Example Question #9 : 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 $\frac{4}{5}$ $\displaystyle \frac{4}{5}$ of a liter of soda, and there will be $\displaystyle 7$ people at the game night, the number of liters of soda that Linda and her friends will drink is between the numbers:

Possible Answers:

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 8$ and $\displaystyle 9$

Correct answer:

$\displaystyle 5$ and $\displaystyle 6$

Explanation:

$\frac{7}{1}\times\frac{4}{5}=\frac{28}{5}$ $\displaystyle \frac{7}{1}\times\frac{4}{5}=\frac{28}{5}$

$\frac{28}{5}=5\frac{3}{5}$ $\displaystyle \frac{28}{5}=5\frac{3}{5}$ because $\displaystyle 5$ can go into $\displaystyle 25$ five times, with $\displaystyle 3$ left over.

$5\frac{3}{5}$ $\displaystyle 5\frac{3}{5}$ is between the whole numbers $\displaystyle 5$ and $\displaystyle 6$ .

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Example Question #261 : Number & Operations: Fractions

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{2}{6}$ $\displaystyle \frac{2}{6}$ of a bag of marshmallows, and there will be $\displaystyle 11$ people camping, how many bags of marshmallows will David need? Select the choice with the whole numbers that your answer will be between.

Possible Answers:

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 3$ and $\displaystyle 4$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

$\frac{11}{1}\times\frac{2}{6}=\frac{22}{6}$ $\displaystyle \frac{11}{1}\times\frac{2}{6}=\frac{22}{6}$

$\frac{22}{6}=3\frac{4}{6}$ $\displaystyle \frac{22}{6}=3\frac{4}{6}$ because $\displaystyle 6$ can go into $\displaystyle 22$ three times, with $\displaystyle 4$ left over.

$3\frac{4}{6}$ $\displaystyle 3\frac{4}{6}$ is between the whole numbers $\displaystyle 3$ and $\displaystyle 4$ .

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Common Core: 4th Grade Math : Solve Word Problems Involving Multiplication of a Fraction by a Whole Number: CCSS.Math.Content.4.NF.B.4c

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #211 : How To Multiply Fractions

Example Question #731 : Fractions

Example Question #732 : Fractions

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

Example Question #5 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

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

Example Question #7 : 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 #9 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #261 : Number & Operations: Fractions

All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Solve Word Problems Involving Multiplication of a Fraction by a Whole Number: CCSS.Math.Content.4.NF.B.4c

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #211 : How To Multiply Fractions

Example Question #731 : Fractions

Example Question #732 : Fractions

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

Example Question #5 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

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

Example Question #7 : 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 #9 : Solve Word Problems Involving Multiplication Of A Fraction By A Whole Number: Ccss.Math.Content.4.Nf.B.4c

Example Question #261 : Number & Operations: Fractions

All Common Core: 4th Grade Math Resources

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Example Question #261 : Number & Operations: Fractions