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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 #31 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Solve:

$\small \frac{4}{8}\times\frac{1}{3}$

Possible Answers:

$\small \frac{6}{7}$

$\small \frac{1}{3}$

$\small \frac{2}3{}$

$\small \frac{1}{6}$

$\small \frac{5}{6}$

Correct answer:

$\small \frac{1}{6}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{4}{8}\times\frac{1}{3}=\frac{4}{24}$

$\small \frac{4}{24}$ can be reduced by dividing both sides by $\small 4$

$\small \frac{4}{24}\div\frac{4}{4}=\frac{1}{6}$

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Example Question #1952 : Ssat Middle Level Quantitative (Math)

Solve:

$\small \frac{4}{8}\times\frac{3}{4}$

Possible Answers:

$\small \frac{2}{3}$

$\small \frac{1}{4}$

$\small \frac{3}{8}$

$\small \frac{1}{2}$

$\small \frac{7}{9}$

Correct answer:

$\small \frac{3}{8}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{4}{8}\times\frac{3}{4}=\frac{12}{32}$

$\small \frac{12}{32}$ can be reduced by dividing both sides by $\small 4$

$\small \frac{12}{32}\div\frac{4}{4}=\frac{3}{8}$

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Example Question #261 : Number & Operations With Fractions

Solve:

$\small \frac{7}{8}\times\frac{1}{3}$

Possible Answers:

$\small \frac{7}{24}$

$\small \frac{4}{5}$

$\small \frac{9}{11}$

$\small \frac{7}{21}$

$\small \frac{5}{27}$

Correct answer:

$\small \frac{7}{24}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{7}{8}\times\frac{1}{3}=\frac{7}{24}$

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Example Question #262 : Number & Operations With Fractions

Solve:

$\small \frac{1}{5}\times\frac{1}{8}$

Possible Answers:

$\small \frac{1}{40}$

$\small \frac{1}{20}$

$\small \frac{2}{40}$

$\small \frac{1}{12}$

$\small \frac{5}{6}$

Correct answer:

$\small \frac{1}{40}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{5}\times\frac{1}{8}=\frac{1}{40}$

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Example Question #811 : Fractions

Solve the following:

$\small \frac{1}{3}\times\frac{1}{9}$

Possible Answers:

$\small \frac{5}{27}$

$\small \frac{2}{27}$

$\small \frac{1}{6}$

$\small \frac{1}{28}$

$\small \frac{1}{27}$

Correct answer:

$\small \frac{1}{27}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{3}\times\frac{1}{9}=\frac{1}{27}$

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Example Question #1682 : Ssat Middle Level Quantitative (Math)

Solve:

$\small \frac{2}{5}\times\frac{1}{7}$

Possible Answers:

$\small \frac{1}{15}$

$\small \frac{2}{7}$

$\small \frac{1}{5}$

$\small \frac{7}{8}$

$\small \frac{2}{35}$

Correct answer:

$\small \frac{2}{35}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{2}{5}\times\frac{1}{7}=\frac{2}{35}$

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Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Beatrice has six cats. Each cat eats $\frac{2}{3}$ of a can of cat food each day. Set up a mathematical equation to find the number of cans of cat food that Beatrice goes through each day to feed all six of her cats.

Possible Answers:

$6\ cats\times \frac{3}{2}\ can\ per\ cat=6\times \frac{3}{2}=\frac{18}{2}=9\ cans\ per\ day$

$6\ cats+ \frac{2}{3}\ can\ per\ cat=6+ \frac{2}{3}=\frac{20}{3}\ cans\ per\ day$

$6\ cats\times \frac{2}{3}\ can\ per\ cat=6\times \frac{2}{3}=\frac{12}{3}=9\ cans\ per\ day$

$6\ cats\times \frac{2}{3}\ can\ per\ cat=6\times \frac{2}{3}=\frac{12}{3}=4\ cans\ per\ day$

$6\ cats\times \frac{2}{3}\ can\ per\ cat=6\times \frac{2}{3}=\frac{18}{3}=6\ cans\ per\ day$

Correct answer:

$6\ cats\times \frac{2}{3}\ can\ per\ cat=6\times \frac{2}{3}=\frac{12}{3}=4\ cans\ per\ day$

Explanation:

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Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Ronda made gallons of punch. $\frac{1}{5}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{3}{5}$

$\frac{2}{5}$

$\frac{1}{5}$

Correct answer:

$\frac{3}{5}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{5}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{5}\times3$

3 5

$\frac{1}{5}\times3$ which means $\frac{1}{5}$ of each group of $3=\frac{3}{5}$

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Example Question #1121 : Common Core Math: Grade 5

Mary-Beth made gallons of punch. $\frac{1}{5}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{2}{5}$

$\frac{4}{5}$

$\frac{3}{5}$

Correct answer:

$\frac{4}{5}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{5}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{5}\times4$

4 5

$\frac{1}{5}\times4$ which means $\frac{1}{5}$ of each group of $4=\frac{4}{5}$

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Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Alison made gallons of punch. $\frac{1}{3}$ of the punch was water. How much water did she use to make the punch?

Possible Answers:

$\frac{1}{3}$

$\frac{2}{3}$

$\frac{3}{3}$

Correct answer:

$\frac{2}{3}$

Explanation:

A keyword in our question that gives us a clue that we are going to multiply to solve this problem is the word "of". $\frac{1}{3}$ of the punch is water.

We know that we have gallons of punch so we can set up our multiplication problem.

$\frac{1}{3}\times2$

2 3

$\frac{1}{3}\times2$ which means $\frac{1}{3}$ of each group of $2=\frac{2}{3}$

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All Common Core: 5th Grade Math Resources

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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 #31 : Multiply A Fraction Or Whole Number By A Fraction: Ccss.Math.Content.5.Nf.B.4

Example Question #1952 : Ssat Middle Level Quantitative (Math)

Example Question #261 : Number & Operations With Fractions

Example Question #262 : Number & Operations With Fractions

Example Question #811 : Fractions

Example Question #1682 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

Example Question #1121 : Common Core Math: Grade 5

Example Question #1 : Interpret The Product (A/B) × Q As A Part Of A Partition Of Q Into B Equal Parts: Ccss.Math.Content.5.Nf.B.4a

All Common Core: 5th Grade Math Resources

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