Comparing fractions worksheet with same numerator for educational use.

Here are the solutions to the problems on the worksheet.

1. $>$
(The circle divided into 5 parts has larger slices than the one divided into 3 parts, even though both have 2 shaded.)

2. $<$
(4 out of 5 is almost a whole pizza. 4 out of 6 leaves more leftovers. So, 4/5 is bigger.)

3. $>$
(Half a circle (1/2) is bigger than just one slice of a circle cut into 4 pieces (1/4).)

4. $=$
(Both circles show 5 shaded slices out of 8 total slices. They are exactly the same.)

5. $>$
(Imagine sharing 1 cookie. If you share it with 3 people, you get a bigger piece than if you share it with 5 people.)

6. $<$
(3/4 is bigger because the pieces (fourths) are larger than sixths. 3 big pieces > 3 small pieces.)

7. $<$
(5/8 is bigger. When numerators are the same, the fraction with the *smaller* bottom number is actually the *larger* amount.)

8. $<$
(1/2 is bigger than 1/5. Half is a lot; one-fifth is a small sliver.)

9. $<$
(2/3 is bigger. Thirds are larger chunks than sixths.)

10. $<$
(4/5 is bigger. Fifths are larger chunks than eighths.)

11. Evan made more shots.
Explain: Evan made 2/3 and Sam made 2/4. Since the top numbers (numerators) are the same, we look at the bottom numbers. A smaller bottom number means bigger pieces. Since 3 is smaller than 4, thirds are bigger than fourths. Therefore, 2/3 is greater than 2/4.

12. Garrett ate more.
Explain: Bradley ate 3/6 and Garrett ate 3/4. Both ate "3 pieces," but Garrett's pieces were fourths (bigger) while Bradley's were sixths (smaller). Because 4 is smaller than 6, the fraction 3/4 is larger than 3/6.

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Final Answer:
1. >
2. <
3. >
4. =
5. >
6. <
7. <
8. <
9. <
10. <
11. Evan (2/3 > 2/4)
12. Garrett (3/4 > 3/6)