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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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All Common Core: 5th Grade Math Resources

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Example Questions

Example Question #783 : Fractions

Hannah is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$10\frac{3}{4}\ laps$

$6\frac{1}{4}\ laps$

$6\ laps$

$10\ laps$

$20\ laps$

Correct answer:

$6\frac{1}{4}\ laps$

Explanation:

First, you need to change the mixed number into an improper fraction. To do this, you multiply the denominator by the whole number, then add the numerator. That number becomes the numerator of your improper fraction. The denominator stays the same.

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

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{5}{1}\times\frac{5}{4}=\frac{25}{4}$

Finally, reduce to find your final answer.

$\frac{25}{4}=6\frac{1}{4}$

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Example Question #784 : Fractions

Hannah is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$12\frac{1}{4}\ laps$

$12\ laps$

$3\frac{3}{4}\ laps$

$5\ laps$

$7\ laps$

Correct answer:

$3\frac{3}{4}\ laps$

Explanation:

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

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{3}{1}\times\frac{5}{4}=\frac{15}{4}$

Finally, reduce to find your final answer.

$\frac{15}{4}=3\frac{3}{4}$

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Example Question #785 : Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$39\ laps$

$36\frac{1}{4}\ laps$

$35\ laps$

$34\ laps$

$36\frac{3}{4}\ laps$

Correct answer:

$39\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{12}{1}\times\frac{13}{4}=\frac{156}{4}$

Finally, reduce to find your final answer.

$\frac{156}{4}=39$

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Example Question #786 : Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$14\ laps$

$12\ laps$

$9\frac{3}{4}\ laps$

$12\frac{1}{4}\ laps$

$9\frac{1}{4}\ laps$

Correct answer:

$9\frac{3}{4}\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{3}{1}\times\frac{13}{4}=\frac{39}{4}$

Finally, reduce to find your final answer.

$\frac{39}{4}=9\frac{3}{4}$

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Example Question #787 : Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$21\ laps$

$24\ laps$

$16\ laps$

$13\ laps$

$13\frac{3}{4}\ laps$

Correct answer:

$13\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{4}{1}\times\frac{13}{4}=\frac{52}{4}$

Finally, reduce to find your final answer.

$\frac{52}{4}=13$

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Example Question #791 : Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$6\frac{1}{2}\ laps$

$6\ laps$

$26\ laps$

$24\ laps$

$9\frac{3}{4}\ laps$

Correct answer:

$6\frac{1}{2}\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{2}{1}\times\frac{13}{4}=\frac{26}{4}$

Finally, reduce to find your final answer.

$\frac{26}{4}=6\frac{2}{4}$

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

$6\frac{1}{2}$

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Example Question #792 : Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$30\frac{3}{4}\ laps$

$30\ laps$

$32\ laps$

$32\frac{1}{2}\ laps$

$30\frac{2}{4}\ laps$

Correct answer:

$32\frac{1}{2}\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{10}{1}\times\frac{13}{4}=\frac{130}{4}$

Finally, reduce to find your final answer.

$\frac{130}{4}=32\frac{2}{4}$

$\frac{2}{4}\div\frac{2}{2}=\frac{1}{2}$

$32\frac{1}{2}$

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Example Question #271 : How To Multiply Fractions

Lauren is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $3\tfrac{1}{4}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$21\ laps$

$22\frac{1}{4}\ laps$

$19\ laps$

$22\frac{3}{4}\ laps$

$21\frac{3}{4}\ laps$

Correct answer:

$22\frac{3}{4}\ laps$

Explanation:

$3\frac{1}{4}=\frac{13}{4}$

Then put your whole number over to make it a fraction, and multiply like normal.

$\frac{7}{1}\times\frac{13}{4}=\frac{91}{4}$

Finally, reduce to find your final answer.

$\frac{91}{4}=22\frac{3}{4}$

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Example Question #511 : Number & Operations With Fractions

A recipe calls for $\frac{1}{4}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{8}\ cup$

$\frac{3}{4}\ cup$

$\frac{3}{8}\ cup$

$\frac{2}{4}\ cup$

$\frac{1}{2}\ cup$

Correct answer:

$\frac{1}{8}\ cup$

Explanation:

When you cut something in half, you can either divide by or multiply by $\frac{1}{2}$ . Remember, when you divide fractions, you actually multiply by the reciprocal. The reciprocal of is $\frac{1}{2}$ .

$\frac{1}{4}\times\frac{1}{2}=\frac{1}{8}$

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Example Question #512 : Number & Operations With Fractions

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

Possible Answers:

$\frac{3}{4}\ cup$

$\frac{1}{8}\ cup$

$\frac{1}{4}\ cup$

$\frac{3}{8}\ cup$

$\frac{2}{8}\ cup$

Correct answer:

$\frac{3}{8}\ cup$

Explanation:

$\frac{3}{4}\times\frac{1}{2}=\frac{3}{8}$

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Common Core: 5th Grade Math : Solve Real World Problems Involving Multiplication of Fractions and Mixed Numbers: CCSS.Math.Content.5.NF.B.6

Study concepts, example questions & explanations for Common Core: 5th Grade Math

All Common Core: 5th Grade Math Resources

Example Questions

Example Question #783 : Fractions

Example Question #784 : Fractions

Example Question #785 : Fractions

Example Question #786 : Fractions

Example Question #787 : Fractions

Example Question #791 : Fractions

Example Question #792 : Fractions

Example Question #271 : How To Multiply Fractions

Example Question #511 : Number & Operations With Fractions

Example Question #512 : Number & Operations With Fractions

All Common Core: 5th Grade Math Resources

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