Comparing fractions of different wholes | Fractions | 3rd grade | Khan Academy

TL;DR

This video provides examples of fraction problems and demonstrates how to compare quantities.

Transcript

• Amir ate 2/3 of a piece of red licorice. So, let's draw a piece of red licorice over here and let's draw it into thirds, so, or split it into thirds. Three equal sections, as best as I can draw that, and he ate 2/3 of it, so that's 1/3 right over here and then, this is a second third, So, that's 2/3, what I shaded in. This is how much of that red... Read More

Key Insights

• ❓ Fraction comparisons involve understanding the relationship between numerators and denominators.
• 🗺️ Different sizes of objects can affect the amount consumed or traveled even with the same fraction.
• 💁 Without additional information, it is impossible to determine the outcome of a comparison.
• 🧠 Comparing quantities based solely on fractions can be similar to brain teasers where equal weights or measurements are involved.
• ❓ Understanding the context is crucial when interpreting fraction problems.
• ❓ Knowing the size or dimensions of objects is essential to make accurate comparisons.
• ❓ Comparisons involving fractions can provide insights into relative sizes or quantities.

Questions & Answers

Q: In the first example, why does Nikko eat more red licorice?

Nikko ate more red licorice because his piece was longer but equally thick compared to Amir's piece. The larger size allows more licorice to be consumed when both eat 2/3 of their respective pieces.

Q: How can we determine who ate more pizza in the second example?

We cannot determine who ate more pizza without knowing the sizes of the pizzas from Store A and Store B. It is possible that either the narrator or the unicorn ate more, or they might have eaten an equal amount.

Q: What does the third example reveal about Hiro and Fred's running times?

Both Hiro and Fred took the same amount of time to run from their houses to school, which was 1/3 of an hour. The question focuses solely on comparing their running times, not the distances or speeds.

Summary & Key Takeaways

• The video discusses the comparison of two pieces of red licorice, one shorter and one longer, both eaten by different individuals. It shows that the longer piece contains more licorice.

• Another example involves comparing the amount of pizza eaten by the narrator and their unicorn from two different stores. The video emphasizes that without information about the size of the pizzas, it is impossible to determine who ate more.

• Lastly, the video explains a scenario where two individuals, Hiro and Fred, run from their respective houses to school. They both take the same amount of time, but it does not provide any details about the distance traveled.