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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 #1342 : Common Core Math: Grade 5

Emily is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $2\tfrac{1}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$26\frac{1}{3}\ laps$

$28\frac{1}{3}\ laps$

$24\ laps$

$28\ laps$

$24\frac{1}{3}\ laps$

Correct answer:

$28\ laps$

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.

$2\frac{1}{3}=\frac{7}{3}$

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

$\frac{12}{1}\times\frac{7}{3}=\frac{84}{3}$

Finally, reduce to find your final answer.

$\frac{84}{3}=28$

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Example Question #492 : Number & Operations With Fractions

Emily is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $2\tfrac{1}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$30\ laps$

$35\ laps$

$10\frac{1}{3}\ laps$

$10\frac{1}{2}\ laps$

$30\frac{1}{3}\ laps$

Correct answer:

$35\ laps$

Explanation:

$2\frac{1}{3}=\frac{7}{3}$

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

$\frac{15}{1}\times\frac{7}{3}=\frac{105}{3}$

Finally, reduce to find your final answer.

$\frac{105}{3}=35$

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Example Question #493 : Number & Operations With Fractions

Emily is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $2\tfrac{1}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$49\ laps$

$42\frac{1}{3}\ laps$

$47\frac{1}{3}\ laps$

$42\frac{1}{2}\ laps$

$42\ laps$

Correct answer:

$49\ laps$

Explanation:

$2\frac{1}{3}=\frac{7}{3}$

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

$\frac{21}{1}\times\frac{7}{3}=\frac{147}{3}$

Finally, reduce to find your final answer.

$\frac{147}{3}=49$

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Example Question #31 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Claire is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{3}$ times as many laps as she did on Monday. How many laps does she run on

Possible Answers:

$35\ laps$

$36\frac{2}{3}\ laps$

$20\ laps$

$24\ laps$

$12\frac{2}{3}\ laps$

Correct answer:

$20\ laps$

Explanation:

$1\frac{2}{3}=\frac{5}{3}$

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

$\frac{12}{1}\times\frac{5}{3}=\frac{60}{3}$

Finally, reduce to find your final answer.

$\frac{60}{3}=20$

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Example Question #31 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Claire is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$21\ laps$

$9\frac{1}{3}\ laps$

$30\frac{2}{3}\ laps$

$30\ laps$

$9\ laps$

Correct answer:

$30\ laps$

Explanation:

$1\frac{2}{3}=\frac{5}{3}$

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

$\frac{18}{1}\times\frac{5}{3}=\frac{90}{3}$

Finally, reduce to find your final answer.

$\frac{90}{3}=30$

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Example Question #772 : Fractions

Claire is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{3}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$26\frac{1}{3}\ laps$

$44\ laps$

$36\frac{2}{3}\ laps$

$44\frac{2}{3}\ laps$

$36\ laps$

Correct answer:

$36\frac{2}{3}\ laps$

Explanation:

$1\frac{2}{3}=\frac{5}{3}$

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

$\frac{22}{1}\times\frac{5}{3}=\frac{110}{3}$

Finally, reduce to find your final answer.

$\frac{110}{3}=36\frac{2}{3}$

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Example Question #491 : Number & Operations With Fractions

Molly is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$60\ laps$

$12\frac{2}{5}\ laps$

$24\frac{2}{5}\ laps$

$16\frac{4}{5}\ laps$

$16\frac{2}{5}\ laps$

Correct answer:

$16\frac{4}{5}\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$

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

$\frac{12}{1}\times\frac{7}{5}=\frac{84}{5}$

Finally, reduce to find your final answer.

$\frac{84}{5}=16\frac{4}{5}$

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Example Question #492 : Number & Operations With Fractions

Molly is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$21\frac{1}{5}\ laps$

$30\frac{1}{5}\ laps$

$30\ laps$

$32\ laps$

$21\ laps$

Correct answer:

$21\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$

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

$\frac{15}{1}\times\frac{7}{5}=\frac{105}{5}$

Finally, reduce to find your final answer.

$\frac{105}{5}=21$

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Example Question #781 : Fractions

Molly is trying out for the track team this year. On Monday she ran laps. On Tuesday she runs $1\tfrac{2}{5}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$26\frac{1}{5}\ laps$

$18\frac{1}{5}\ laps$

$25\ laps$

$19\ laps$

$26\frac{1}{3}\ laps$

Correct answer:

$18\frac{1}{5}\ laps$

Explanation:

$1\frac{2}{5}=\frac{7}{5}$

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

$\frac{13}{1}\times\frac{7}{5}=\frac{91}{5}$

Finally, reduce to find your final answer.

$\frac{91}{5}=18\frac{1}{5}$

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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:

$15\frac{1}{4}\ laps$

$15\ laps$

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

$48\ laps$

$24\ laps$

Correct answer:

$15\ laps$

Explanation:

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

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

$\frac{12}{1}\times\frac{5}{4}=\frac{60}{4}$

Finally, reduce to find your final answer.

$\frac{60}{4}=15$

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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 #1342 : Common Core Math: Grade 5

Example Question #492 : Number & Operations With Fractions

Example Question #493 : Number & Operations With Fractions

Example Question #31 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #31 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #772 : Fractions

Example Question #491 : Number & Operations With Fractions

Example Question #492 : Number & Operations With Fractions

Example Question #781 : Fractions

Example Question #1261 : Numbers And Operations

All Common Core: 5th Grade Math Resources

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