Comparing fractions with same numerator | Math | 3rd grade | Khan Academy | Summary and Q&A

TL;DR

Comparing fractions 5/6 and 5/8, we can see that 5/6 is greater because the pieces are larger.

Key Insights

• 🕰️ Comparing fractions involves looking at the size of the pieces and the number of pieces.
• 🕰️ Fractions with bigger pieces are greater than fractions with smaller pieces.
• 🤗 The open side of the fraction symbol should face the larger number when comparing fractions.
• 🤔 Comparing fractions can be done visually by drawing or by thinking about the meaning of the fractions.

Transcript

• [Voiceover] Let's compare 5/6 and 5/8. Let's think about what they mean. 5/6 means five out of six pieces. If you have a whole, let's say a whole cake and you cut it into six pieces, 5/6 is five of those six pieces. 5/8 again is five pieces. That's something that's the same. We're both talking about five pieces, but this time, we've split our cak... Read More

Questions & Answers

Q: How is 5/6 different from 5/8 in terms of the size of the pieces?

5/6 represents five larger pieces out of six, while 5/8 represents five smaller pieces out of eight. The pieces in 5/6 are bigger than the pieces in 5/8.

Q: Why is 5/6 greater than 5/8?

5/6 is greater than 5/8 because the larger number of pieces (five) in 5/6 takes up more space or area compared to five smaller pieces in 5/8. Each piece in 5/6 is larger than each piece in 5/8.

Q: How can we compare fractions without drawing them?

To compare fractions without drawing, we can think about the meaning of the fractions. For example, 2/5 means two pieces out of five, while 2/3 means two pieces out of three. The two pieces in 2/3 are larger because they are split into fewer parts than the two smaller pieces in 2/5.

Q: How do we represent the larger number in a fraction using symbols?

The open side of the fraction symbol (< or >) should be facing the larger number. In the case of comparing 5/6 and 5/8, 5/6 is greater than 5/8, so the open side should face 5/6.

Summary & Key Takeaways

• The content compares fractions 5/6 and 5/8, representing them as slices of cake.

• For 5/6, the whole cake is divided into six equal pieces, and 5/6 represents five of those pieces.

• For 5/8, the cake is divided into eight equal pieces, and 5/8 represents five of those smaller pieces.