Intro to equivalent fractions | Fractions | 4th grade | Khan Academy

TL;DR

Cutting a pizza into different numbers of equal pieces results in different fractions, but they represent the same quantity of pizza.

Transcript

So I've got a whole pizza here, and let's say that I were to cut it into two equal pieces. Let me cut it right over here into 2 equal pieces. And let's say that I ate one of those 2 equal pieces. So let's say I ate all of this right over here. What fraction of the pizza have I eaten? Well, I took the whole and I divide it into two equal pieces, and... Read More

Key Insights

• 😅 Eating different fractions of a pizza can be represented by equivalent fractions.
• 💇 The number of equal pieces obtained by cutting the pizza affects the resulting fraction.
• 🛟 Multiplying the numerator and denominator of a fraction by the same number preserves its value.

Questions & Answers

Q: How does cutting a pizza into different numbers of equal pieces affect the fraction eaten?

Cutting a pizza into more equal pieces doubles the number of slices, meaning you have to eat twice as many pieces to consume the same fraction of pizza.

Q: What do the fractions 1/2, 2/4, and 4/8 represent?

These fractions all represent eating the same amount of pizza, but they are expressed in different ways due to cutting the pizza into different numbers of equal pieces.

Q: What happens when you multiply the numerator and denominator of a fraction by the same number?

Multiplying the numerator and denominator by the same number does not change what the fraction represents. It only changes the expression of the fraction.

Q: Can you continue this pattern of equivalent fractions by cutting the pizza into even more equal pieces?

Yes, you can continue the pattern by cutting the pizza into 16/32, 32/64, and so on. It will always represent the same amount of pizza eaten.

Summary & Key Takeaways

• The video explains how cutting a pizza into equal pieces and eating a certain amount shows equivalent fractions.

• Cutting the pizza into 4 equal pieces means eating 2 out of 4 pieces, which is equivalent to eating 1 out of 2 pieces.

• Cutting the pizza into 8 equal pieces means eating 4 out of 8 pieces, which is also equivalent to eating 2 out of 4 pieces, or 1 out of 2 pieces.