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Common Core: 4th Grade Math : Extend understanding of fraction equivalence and ordering

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

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Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to $\frac{1}{6}$

1 6

Possible Answers:

$\frac{2}{12}$

2 12

$\frac{4}{8}$

4 8

$\frac{2}{3}$

2 3

Correct answer:

$\frac{2}{12}$

2 12

Explanation:

$\frac{1}{6}=\frac{2}{12}$

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in.

1 6

2 12

Also, notice that $\frac{1}{6}$ was doubled to get $\frac{2}{12}$

$\frac{1}{6}\times\frac{2}{2}=\frac{2}{12}$

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Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to $\frac{2}{3}$

2 3

Possible Answers:

$\frac{1}{2}$

1 2

$\frac{4}{6}$

4 6

$\frac{1}{5}$

1 5

Correct answer:

$\frac{4}{6}$

4 6

Explanation:

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

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in.

2 3

4 6

Also, notice that $\frac{2}{3}$ was doubled to get $\frac{4}{6}$

$\frac{2}{3}\times\frac{2}{2}=\frac{4}{6}$

Report an Error

Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Select the fraction that is equivalent to $\frac{2}{3}$

2 3

Possible Answers:

$\frac{8}{12}$

8 12

$\frac{2}{12}$

2 12

$\frac{1}{2}$

1 2

Correct answer:

$\frac{8}{12}$

8 12

Explanation:

$\frac{2}{3}=\frac{8}{12}$

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in.

2 3

8 12

Also, notice that $\frac{2}{3}$ was multiplied by $\frac{4}{4}$ to get $\frac{8}{12}$

$\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}$

Report an Error

Example Question #31 : How To Make Fractions Equivalent

Select the fraction that is equivalent to $\frac{1}{3}$

1 3

Possible Answers:

$\frac{4}{12}$

4 12

$\frac{1}{2}$

1 2

$\frac{2}{4}$

2 4

Correct answer:

$\frac{4}{12}$

4 12

Explanation:

$\frac{1}{3}=\frac{4}{12}$

Notice that when we line up our fraction models, which are the exact same size, the same portion of the rectangle is filled in.

1 3

4 12

Also, notice that $\frac{1}{3}$ was multiplied by $\frac{4}{4}$ to get $\frac{4}{12}$

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

Report an Error

Example Question #25 : Number & Operations: Fractions

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ __________ $\frac{1}{8}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{4}{8}>\frac{1}{8}$

Report an Error

Example Question #26 : Number & Operations: Fractions

Select the symbol to correctly fill in the blank below.

$\frac{3}{4}$ __________ $\frac{7}{8}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{8}<\frac{7}{8}$

Report an Error

Example Question #331 : Fractions

Select the symbol to correctly fill in the blank below.

$\frac{1}{2}$ __________ $\frac{6}{12}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{2}\times\frac{6}{6}=\frac{6}{12}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{6}{12}=\frac{6}{12}$

Report an Error

Example Question #51 : Fractions

Select the symbol to correctly fill in the blank below.

$\frac{5}{7}$ __________ $\frac{1}{3}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{5}{7}\times\frac{3}{3}=\frac{15}{21}$

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

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{15}{21}>\frac{7}{21}$

Report an Error

Example Question #21 : How To Order Fractions From Least To Greatest Or From Greatest To Least

Select the symbol to correctly fill in the blank below.

$\frac{2}{3}$ __________ $\frac{4}{5}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

$\frac{4}{5}\times\frac{3}{3}=\frac{12}{15}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{10}{15}<\frac{12}{15}$

Report an Error

Example Question #1 : How To Compare Fractions

Select the symbol to correctly fill in the blank below.

$\frac{5}{10}$ __________ $\frac{1}{2}$

Possible Answers:

Correct answer:

Explanation:

To compare fractions, we need to first make common denominators.

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

Now that we have common denominators, we can compare numerators. The fraction with the bigger numerator has the greater value.

$\frac{5}{10}=\frac{5}{10}$

Report an Error

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Common Core: 4th Grade Math : Extend understanding of fraction equivalence and ordering

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Example Question #21 : Explain Equivalent Fractions With Fraction Models: Ccss.Math.Content.4.Nf.A.1

Example Question #31 : How To Make Fractions Equivalent

Example Question #25 : Number & Operations: Fractions