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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 #1261 : Numbers And Operations

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:

$18\frac{3}{2}\ laps$

$30\ laps$

$18\frac{1}{2}\ laps$

$18\frac{1}{4}\ laps$

$75\ laps$

Correct answer:

$18\frac{1}{2}\ laps$

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.

$\frac{15}{1}\times\frac{5}{4}=\frac{75}{4}$

Finally, reduce to find your final answer.

$\frac{75}{4}=18\frac{2}{4}$

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

$18\frac{1}{2}$

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Example Question #782 : 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:

$40\ laps$

$25\ laps$

$22\ laps$

$40\frac{1}{4}\ laps$

$24\frac{1}{4}\ laps$

Correct answer:

$25\ laps$

Explanation:

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

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

$\frac{20}{1}\times\frac{5}{4}=\frac{100}{4}$

Finally, reduce to find your final answer.

$\frac{100}{4}=25$

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Example Question #263 : How To Multiply 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:

$32\ laps$

$35\ laps$

$8\frac{3}{4}\ laps$

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

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

Correct answer:

$8\frac{3}{4}\ laps$

Explanation:

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

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

$\frac{7}{1}\times\frac{5}{4}=\frac{35}{4}$

Finally, reduce to find your final answer.

$\frac{35}{4}=8\frac{3}{4}$

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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:

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

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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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 #1261 : Numbers And Operations

Example Question #782 : Fractions

Example Question #263 : How To Multiply Fractions

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

All Common Core: 5th Grade Math Resources

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