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.
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.