# Generating equivalent fractions | Fractions | 3rd grade | Khan Academy | Summary and Q&A

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October 7, 2013
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## TL;DR

This video explains how to find equivalent fractions through a visual representation and shows that 2/3 is equal to 4/6 and 6/9.

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### Q: How is the fraction 2/3 represented visually?

The fraction 2/3 is represented by shading in two out of the three equal sections when a whole is divided into three equal sections.

### Q: How do you find an equivalent fraction to 2/3?

To find an equivalent fraction to 2/3, you can divide each section of the original thirds into equal parts. For example, dividing each third into two equal sections gives the equivalent fraction 4/6.

### Q: How is the equivalent fraction 6/9 found?

The equivalent fraction 6/9 is found by dividing each original third into three equal sections. Shading in six out of the nine sections represents 6/9, which is equivalent to 2/3.

### Q: Can equivalent fractions be represented on a number line?

Yes, equivalent fractions can be represented on a number line. The video illustrates this by showing that 2/3, 4/6, and 6/9 all correspond to the same point on the number line between 0 and 1.

## Summary & Key Takeaways

• The video demonstrates how to visualize the fraction 2/3, dividing a whole into three equal sections and shading in two sections.

• It shows that 2/3 is equivalent to 4/6 by dividing each of the original thirds into two equal sections and shading in four out of the six sections.

• Furthermore, it explains that 2/3 is also equal to 6/9 by dividing each of the original thirds into three equal sections and shading in six out of the nine sections.