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SSAT Middle Level Math : How to multiply fractions

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Example Questions

Example Question #711 : Common Core Math: Grade 4

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:

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 3$ and $\displaystyle 4$

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 #712 : Common Core Math: Grade 4

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:

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 7$ and $\displaystyle 8$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 4$ 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 #713 : Common Core Math: Grade 4

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 $\displaystyle 4$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 5$ and $\displaystyle 6$

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 #714 : Common Core Math: Grade 4

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:

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 7$ and $\displaystyle 8$

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 #221 : How To Multiply Fractions

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:

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 3$ 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 #717 : Common Core Math: Grade 4

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:

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 5$ and $\displaystyle 6$

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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Example Question #718 : Common Core Math: Grade 4

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a bag of marshmallows, and there will be $\displaystyle 13$ 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:

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 4$ and $\displaystyle 5$

Correct answer:

$\displaystyle 2$ and $\displaystyle 3$

Explanation:

$\frac{13}{1}\times\frac{1}{6}=\frac{13}{6}$ $\displaystyle \frac{13}{1}\times\frac{1}{6}=\frac{13}{6}$

$\frac{13}{6}=2\frac{1}{6}$ $\displaystyle \frac{13}{6}=2\frac{1}{6}$ because $\displaystyle 6$ can go into $\displaystyle 13$ two times, with $\displaystyle 1$ left over.

$2\frac{1}{6}$ $\displaystyle 2\frac{1}{6}$ is between the whole numbers $\displaystyle 2$ and $\displaystyle 3$ .

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Example Question #719 : Common Core Math: Grade 4

David is packing for a camping trip with his friends. If each person on the camping trip will roast $\frac{4}{6}$ $\displaystyle \frac{4}{6}$ of a bag of marshmallows, and there will be $\displaystyle 8$ 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 $\displaystyle 2$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 4$ and $\displaystyle 5$

Correct answer:

$\displaystyle 5$ and $\displaystyle 6$

Explanation:

$\frac{8}{1}\times\frac{4}{6}=\frac{32}{6}$ $\displaystyle \frac{8}{1}\times\frac{4}{6}=\frac{32}{6}$

$\frac{32}{6}=5\frac{2}{6}$ $\displaystyle \frac{32}{6}=5\frac{2}{6}$ because $\displaystyle 6$ can go into $\displaystyle 32$ five times, with $\displaystyle 2$ left over.

$5\frac{2}{6}$ $\displaystyle 5\frac{2}{6}$ is between the whole numbers $\displaystyle 5$ and $\displaystyle 6$ .

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Example Question #720 : Common Core Math: Grade 4

Andy is having a party. If each person at a party will eat $\frac{2}{7}$ $\displaystyle \frac{2}{7}$ of a pound of peanuts, and there will be $\displaystyle 5$ 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:

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 4$ and $\displaystyle 5$

$\displaystyle 1$ and $\displaystyle 2$

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 2$ and $\displaystyle 3$

Correct answer:

$\displaystyle 1$ and $\displaystyle 2$

Explanation:

$\frac{5}{1}\times\frac{2}{7}=\frac{10}{7}$ $\displaystyle \frac{5}{1}\times\frac{2}{7}=\frac{10}{7}$

$\frac{10}{7}=1\frac{3}{7}$ $\displaystyle \frac{10}{7}=1\frac{3}{7}$ because $\displaystyle 7$ can go into $\displaystyle 10$ one time, with $\displaystyle 3$ left over.

$1\frac{3}{7}$ $\displaystyle 1\frac{3}{7}$ is between the whole numbers $\displaystyle 1$ and $\displaystyle 2$ .

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Example Question #261 : Number & Operations: Fractions

Andy is having a party. If each person at a party will eat $\frac{4}{7}$ $\displaystyle \frac{4}{7}$ of a pound of peanuts, and there will be $\displaystyle 6$ 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:

$\displaystyle 3$ and $\displaystyle 4$

$\displaystyle 2$ and $\displaystyle 3$

$\displaystyle 6$ and $\displaystyle 7$

$\displaystyle 5$ and $\displaystyle 6$

$\displaystyle 4$ and $\displaystyle 5$

Correct answer:

$\displaystyle 3$ and $\displaystyle 4$

Explanation:

$\frac{6}{1}\times\frac{4}{7}=\frac{24}{7}$ $\displaystyle \frac{6}{1}\times\frac{4}{7}=\frac{24}{7}$

$\frac{24}{7}=3\frac{3}{7}$ $\displaystyle \frac{24}{7}=3\frac{3}{7}$ because $\displaystyle 7$ can go into $\displaystyle 24$ three times, with $\displaystyle 3$ left over.

$3\frac{3}{7}$ $\displaystyle 3\frac{3}{7}$ is between the whole numbers $\displaystyle 3$ and $\displaystyle 4$ .

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SSAT Middle Level Math : How to multiply fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #711 : Common Core Math: Grade 4

Example Question #712 : Common Core Math: Grade 4

Example Question #713 : Common Core Math: Grade 4

Example Question #714 : Common Core Math: Grade 4

Example Question #221 : How To Multiply Fractions

Example Question #717 : Common Core Math: Grade 4

Example Question #718 : Common Core Math: Grade 4

Example Question #719 : Common Core Math: Grade 4

Example Question #720 : Common Core Math: Grade 4

Example Question #261 : Number & Operations: Fractions

All SSAT Middle Level Math Resources

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HIGH SCHOOL

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K-8

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SSAT Middle Level Math : How to multiply fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #711 : Common Core Math: Grade 4

Example Question #712 : Common Core Math: Grade 4

Example Question #713 : Common Core Math: Grade 4

Example Question #714 : Common Core Math: Grade 4

Example Question #221 : How To Multiply Fractions

Example Question #717 : Common Core Math: Grade 4

Example Question #718 : Common Core Math: Grade 4

Example Question #719 : Common Core Math: Grade 4

Example Question #720 : Common Core Math: Grade 4

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

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Example Question #261 : Number & Operations: Fractions