I'll solve this fraction comparison problem step by step.
First, I need to understand what the task is asking. The worksheet asks me to compare fractions by checking if either the denominators or numerators are the same, then using the appropriate symbol (<, >, or =) in the circle.
Let me go through each pair of fractions one by one:
1. 3/8 vs 2/8: These have the same denominator (8), so I compare numerators. Since 3 > 2, 3/8 > 2/8.
2. 7/9 vs 7/8: These have the same numerator (7), so I compare denominators. Since 9 > 8, 7/9 < 7/8 (larger denominator means smaller fraction when numerators are equal).
3. 4/5 vs 4/7: Same numerator (4), different denominators. Since 5 < 7, 4/5 > 4/7.
4. 1/2 vs 1/10: Same numerator (1), different denominators. Since 2 < 10, 1/2 > 1/10.
5. 1/5 vs 2/10: I need to check if these are equivalent. 2/10 simplifies to 1/5, so 1/5 = 2/10.
6. 3/5 vs 3/4: Same numerator (3), different denominators. Since 5 > 4, 3/5 < 3/4.
7. 2/3 vs 1/3: Same denominator (3), different numerators. Since 2 > 1, 2/3 > 1/3.
8. 5/10 vs 3/6: I need to simplify both. 5/10 = 1/2 and 3/6 = 1/2, so 5/10 = 3/6.
9. 2/6 vs 4/4: 2/6 simplifies to 1/3 and 4/4 = 1. Since 1/3 < 1, 2/6 < 4/4.
Now I'll fill in all the circles with the correct symbols.
The completed worksheet should have:
- 3/8 > 2/8
- 7/9 < 7/8
- 4/5 > 4/7
- 1/2 > 1/10
- 1/5 = 2/10
- 3/5 < 3/4
- 2/3 > 1/3
- 5/10 = 3/6
- 2/6 < 4/4
Parent Tip: Review the logic above to help your child master the concept of comparing fractions with like numerators worksheet.
