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Common Core: 3rd Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

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All Common Core: 3rd Grade Math Resources

7 Diagnostic Tests 226 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Recognize And Generate Simple Equivalent Fractions: Ccss.Math.Content.3.Nf.A.3b

What fraction is equivalent to $\frac{2}{3}?$

Possible Answers:

$\frac{2}{6}$

$\frac{4}{6}$

$\frac{1}{6}$

$\frac{5}{6}$

$\frac{3}{6}$

Correct answer:

$\frac{4}{6}$

Explanation:

The two lines above are the same length. The top line is split into pieces and the bottom line is split into pieces.

$\frac{2}{3}$ and $\frac{4}{6}$ are equivalent because they occupy the same position on the number line.

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Example Question #12 : Recognize And Generate Simple Equivalent Fractions: Ccss.Math.Content.3.Nf.A.3b

What fraction is equivalent to $\frac{2}{6}?$

Possible Answers:

$\frac{10}{12}$

$\frac{8}{12}$

$\frac{4}{12}$

$\frac{6}{12}$

$\frac{2}{12}$

Correct answer:

$\frac{4}{12}$

Explanation:

The two lines above are the same length. The top line is split into pieces and the bottom line is split into pieces.

$\frac{2}{6}$ and $\frac{4}{12}$ are equivalent because they occupy the same position on the number line.

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Example Question #1111 : Common Core Math: Grade 3

Which model below is equivalent to $\frac{2}{5}$ ?

Possible Answers:

Screen shot 2020 09 08 at 12.54.08 pm

Screen shot 2020 09 08 at 12.54.31 pm

Screen shot 2020 09 08 at 12.55.09 pm

Screen shot 2020 09 08 at 12.53.54 pm

Correct answer:

Screen shot 2020 09 08 at 12.53.54 pm

Explanation:

Models are a great way to find and view equivalent fractions because they show us visual representations of the fractions. In this question, we are tasked with finding the equivalent to $\frac{2}{5}$ . One strategy is to draw a model of $\frac{2}{5}$ and compare it to the answer choices or we can use multiplication to determine which answer choice is equivalent.

The different answer choices we have are $\frac{4}{10}$ , $\frac{3}{8}$ , $\frac{2}{4}$ , and $\frac{5}{9}$ .

When looking at $\frac{2}{5}$ if we multiply the numerator and denominator by the same number we will find equivalent fractions. For example:

$\frac{2}{5}*\frac{2}{2}=\frac{4}{10}$

$\frac{2}{5}*\frac{3}{3}=\frac{6}{15}$

$\frac{2}{5}*\frac{4}{4}=\frac{8}{20}$

When looking at these answers and using multiplication it can be determined that $\frac{2}{5}= \frac{4}{10}$ . We can also look at the two visual models and see that they are equivalent.

Screen shot 2020 09 08 at 1.11.07 pm

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Example Question #1112 : Common Core Math: Grade 3

Which model is equivalent to $\frac{1}{2}$ ?

Possible Answers:

Screen shot 2020 09 08 at 12.53.33 pm

Screen shot 2020 09 08 at 12.54.31 pm

Screen shot 2020 09 08 at 12.54.08 pm

Screen shot 2020 09 08 at 12.55.09 pm

Correct answer:

Screen shot 2020 09 08 at 12.55.09 pm

Explanation:

Models are a great way to find and view equivalent fractions because they show us visual representations of the fractions. In this question, we are tasked with finding the equivalent to $\frac{1}{2}$ . One strategy is to draw a model of $\frac{1}{2}$ and compare it to the answer choices or we can use multiplication to determine which answer choice is equivalent.

The different answer choices we have are $\frac{2}{5}$ , $\frac{3}{8}$ , $\frac{2}{4}$ , and $\frac{5}{9}$ .

When looking at $\frac{1}{2}$ if we multiply the numerator and denominator by the same number we will find equivalent fractions. For example:

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

$\frac{1}{2}*\frac{3}{3}=\frac{3}{6}$

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

When looking at these answers and using multiplication it can be determined that $\frac{1}{2}= \frac{2}{4}$ . We can also look at the two visual models and see that they are equivalent.

Screen shot 2020 09 08 at 2.04.54 pm

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Example Question #1113 : Common Core Math: Grade 3

Which model is equivalent to $\frac{3}{4}$ ?

Possible Answers:

Screen shot 2020 09 08 at 12.54.31 pm

Screen shot 2020 09 08 at 12.55.09 pm

Screen shot 2020 09 08 at 2.08.28 pm

Screen shot 2020 09 08 at 12.53.54 pm

Correct answer:

Screen shot 2020 09 08 at 2.08.28 pm

Explanation:

Models are a great way to find and view equivalent fractions because they show us visual representations of the fractions. In this question, we are tasked with finding the equivalent to $\frac{3}{4}$ . One strategy is to draw a model of $\frac{3}{4}$ and compare it to the answer choices or we can use multiplication to determine which answer choice is equivalent.

The different answer choices we have are $\frac{9}{12}$ , $\frac{2}{4}$ , $\frac{4}{10}$ , and $\frac{5}{9}$ .

tor by the same number we will find equivalent fractions. For example:

$\frac{3}{4}*\frac{2}{2}=\frac{6}{8}$

$\frac{3}{4}*\frac{3}{3}=\frac{9}{12}$

$\frac{3}{4}*\frac{4}{4}=\frac{12}{16}$

When looking at these answers and using multiplication it can be determined that $\frac{3}{4}= \frac{9}{12}$ . We can also look at the two visual models and see that they are equivalent.

Screen shot 2020 09 08 at 2.10.51 pm

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Example Question #1 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

What fraction is equal to

Possible Answers:

$\frac{2}{1}$

$\frac{1}{3}$

$\frac{1}{1}$

$\frac{1}{2}$

$\frac{3}{1}$

Correct answer:

$\frac{1}{1}$

Explanation:

To make a fraction for a whole number we always put the whole number over .

$\frac{1}{1}$ means divided by , and any number divided by equals itself.

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Example Question #2 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

What fraction is equal to

Possible Answers:

$\frac{2}{2}$

$\frac{3}{1}$

$\frac{2}{1}$

$\frac{1}{2}$

$\frac{4}{1}$

Correct answer:

$\frac{2}{1}$

Explanation:

To make a fraction for a whole number we always put the whole number over .

$\frac{2}{1}$ means divided by , and any number divided by equals itself.

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Example Question #131 : Number & Operations With Fractions

What fraction is equal to

Possible Answers:

$\frac{5}{1}$

$\frac{1}{3}$

$\frac{3}{1}$

$\frac{3}{3}$

$\frac{4}{1}$

Correct answer:

$\frac{3}{1}$

Explanation:

To make a fraction for a whole number we always put the whole number over .

$\frac{3}{1}$ means divided by , and any number divided by equals itself.

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Example Question #3 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

What fraction is equal to

Possible Answers:

$\frac{1}{4}$

$\frac{4}{1}$

$\frac{4}{4}$

$\frac{3}{1}$

$\frac{3}{3}$

Correct answer:

$\frac{4}{1}$

Explanation:

To make a fraction for a whole number we always put the whole number over .

$\frac{4}{1}$ means divided by , and any number divided by equals itself.

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Example Question #5 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

What fraction is equal to

Possible Answers:

$\frac{4}{1}$

$\frac{1}{5}$

$\frac{5}{5}$

$\frac{5}{1}$

$\frac{4}{4}$

Correct answer:

$\frac{5}{1}$

Explanation:

To make a fraction for a whole number we always put the whole number over .

$\frac{5}{1}$ means divided by , and any number divided by equals itself.

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All Common Core: 3rd Grade Math Resources

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Common Core: 3rd Grade Math : Number & Operations with Fractions

Study concepts, example questions & explanations for Common Core: 3rd Grade Math

All Common Core: 3rd Grade Math Resources

Example Questions

Example Question #11 : Recognize And Generate Simple Equivalent Fractions: Ccss.Math.Content.3.Nf.A.3b

Example Question #12 : Recognize And Generate Simple Equivalent Fractions: Ccss.Math.Content.3.Nf.A.3b

Example Question #1111 : Common Core Math: Grade 3

Example Question #1112 : Common Core Math: Grade 3

Example Question #1113 : Common Core Math: Grade 3

Example Question #1 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

Example Question #2 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

Example Question #131 : Number & Operations With Fractions

Example Question #3 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

Example Question #5 : Express Whole Numbers As Fractions: Ccss.Math.Content.3.Nf.A.3c

All Common Core: 3rd Grade Math Resources

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