Generating equivalent fractions | Fractions | 3rd grade | Khan Academy

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.

Transcript

So we've got this fraction written here, 2/3. What I want you to do is pause this video and try to think of any other fractions that are the same that are equivalent to this fraction right over here that essentially represent the same number. So to do that, let's visualize what 2/3 is. So let me draw a whole here. Let me draw a whole, and I'm going... Read More

Key Insights

• 🆘 Visualizing fractions can help in understanding their equivalence.
• 🥳 Dividing each part of an original fraction into equal parts can reveal equivalent fractions.
• ❓ Equivalent fractions represent the same value or amount.
• ❓ The fraction 2/3 is equivalent to 4/6 and 6/9.

Questions & Answers

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.