Common Core: 3rd Grade Math : Understand Equivalence by Size or Point on a Number Line: CCSS.Math.Content.3.NF.A.3a

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

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Example Questions

Example Question #11 : Understand Equivalence By Size Or Point On A Number Line: Ccss.Math.Content.3.Nf.A.3a

What fraction is equivalent to \(\displaystyle \frac{2}{6}\) on the number lines below? 

12

Possible Answers:

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{8}{12}\)

\(\displaystyle \frac{10}{12}\)

\(\displaystyle \frac{4}{12}\)

\(\displaystyle \frac{2}{12}\)

Correct answer:

\(\displaystyle \frac{4}{12}\)

Explanation:

12

The two lines above are the same length. The top line is split into \(\displaystyle 6\) pieces and the bottom line is split into \(\displaystyle 12\) pieces.

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

Example Question #4482 : Ssat Elementary Level Quantitative (Math)

What fraction is equivalent to \(\displaystyle \frac{2}{4}\) on the number lines below? 

 

12

Possible Answers:

\(\displaystyle \frac{5}{12}\)

\(\displaystyle \frac{6}{12}\)

\(\displaystyle \frac{9}{12}\)

\(\displaystyle \frac{3}{12}\)

\(\displaystyle \frac{4}{12}\)

Correct answer:

\(\displaystyle \frac{6}{12}\)

Explanation:

12

The two lines above are the same length. The top line is split into \(\displaystyle 4\) pieces and the bottom line is split into \(\displaystyle 12\) pieces.

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

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