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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Example Questions

Example Question #1 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{1}{7}\times\frac{?}{?}=\frac{3}{21}\)

Possible Answers:

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{3}{4}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 1\times3=3\)

\(\displaystyle 7\times3=21\)

Example Question #2 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{2}{5}\times\frac{?}{?}=\frac{4}{10}\)

 

Possible Answers:

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{1}{1}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{1}{2}\)

Correct answer:

\(\displaystyle \frac{2}{2}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 2\times2=4\)

\(\displaystyle 5\times2=10\)

Example Question #2 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{3}{4}\times\frac{?}{?}=\frac{9}{12}\)

 

Possible Answers:

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{1}{3}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 3\times3=9\)

\(\displaystyle 4\times3=12\)

Example Question #3 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{4}{6}\times\frac{?}{?}=\frac{8}{12}\)

 

Possible Answers:

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{1}{2}\)

Correct answer:

\(\displaystyle \frac{2}{2}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 4\times2=8\)

\(\displaystyle 6\times2=12\)

Example Question #4 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{5}{7}\times\frac{?}{?}=\frac{15}{21}\)

 

Possible Answers:

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{1}{1}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 5\times3=15\)

\(\displaystyle 7\times3=21\)

Example Question #4 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{5}{8}\times\frac{?}{?}=\frac{10}{16}\)

 

Possible Answers:

\(\displaystyle \frac{1}{1}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{5}{5}\)

Correct answer:

\(\displaystyle \frac{2}{2}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 5\times2=10\)

\(\displaystyle 8\times2=16\)

Example Question #5 : Extend Understanding Of Fraction Equivalence And Ordering

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{4}{5}\times\frac{?}{?}=\frac{20}{25}\)

 

Possible Answers:

\(\displaystyle \frac{7}{7}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{6}{6}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{3}{3}\)

Correct answer:

\(\displaystyle \frac{5}{5}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 4\times5=20\)

\(\displaystyle 5\times5=25\)

 

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

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{1}{3}\times\frac{?}{?}=\frac{4}{12}\)

 

Possible Answers:

\(\displaystyle \frac{2}{4}\)

\(\displaystyle \frac{4}{6}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{3}{4}\)

\(\displaystyle \frac{4}{3}\)

Correct answer:

\(\displaystyle \frac{4}{4}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 1\times4=4\)

\(\displaystyle 3\times4=12\)

Example Question #21 : How To Make Fractions Equivalent

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{3}{3}\times\frac{?}{?}=\frac{9}{9}\)

 

Possible Answers:

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{6}{6}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{3}{3}\)

Correct answer:

\(\displaystyle \frac{3}{3}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 3\times3=9\)

\(\displaystyle 3\times3=9\)

Example Question #4 : Number & Operations: €”Fractions

Fill in the blank with the missing fraction. 

\(\displaystyle \frac{2}{10}\times\frac{?}{?}=\frac{12}{60}\)

 

Possible Answers:

\(\displaystyle \frac{2}{2}\)

\(\displaystyle \frac{4}{4}\)

\(\displaystyle \frac{6}{6}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{5}{5}\)

Correct answer:

\(\displaystyle \frac{6}{6}\)

Explanation:

In this problem we are making equivalent fractions. In order to make equivalent fractions you have to multiply the numerator and the denominator by the same number. 

\(\displaystyle 2\times6=12\)

\(\displaystyle 10\times6=60\)

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