I will solve this worksheet by comparing each pair of like fractions and placing the correct symbol (> , <, or =) in the circle between them.
Since these are "like fractions," they all have the same denominator. To compare them, I only need to compare their numerators.
- If the numerator of the first fraction is greater than the numerator of the second, the first fraction is greater (use >).
- If the numerator of the first fraction is less than the numerator of the second, the first fraction is smaller (use <).
- If the numerators are equal, the fractions are equal (use =).
Let's go through each problem:
1.
2/9 vs. 4/9: The denominators are the same (9). Since 2 < 4, then 2/9 < 4/9.
2.
3/12 vs. 9/12: The denominators are the same (12). Since 3 < 9, then 3/12 < 9/12.
3.
5/7 vs. 2/7: The denominators are the same (7). Since 5 > 2, then 5/7 > 2/7.
4.
2/4 vs. 3/4: The denominators are the same (4). Since 2 < 3, then 2/4 < 3/4.
5.
5/11 vs. 6/11: The denominators are the same (11). Since 5 < 6, then 5/11 < 6/11.
6.
7/9 vs. 4/9: The denominators are the same (9). Since 7 > 4, then 7/9 > 4/9.
7.
3/10 vs. 8/10: The denominators are the same (10). Since 3 < 8, then 3/10 < 8/10.
8.
2/5 vs. 2/5: The denominators are the same (5). Since 2 = 2, then 2/5 = 2/5.
9.
2/6 vs. 1/6: The denominators are the same (6). Since 2 > 1, then 2/6 > 1/6.
10.
10/8 vs. 6/8: The denominators are the same (8). Since 10 > 6, then 10/8 > 6/8.
11.
8/11 vs. 4/11: The denominators are the same (11). Since 8 > 4, then 8/11 > 4/11.
12.
12/15 vs. 10/15: The denominators are the same (15). Since 12 > 10, then 12/15 > 10/15.
Here is the completed worksheet with the correct symbols filled in:
1. 2/9
< 4/9
2. 3/12
< 9/12
3. 5/7
> 2/7
4. 2/4
< 3/4
5. 5/11
< 6/11
6. 7/9
> 4/9
7. 3/10
< 8/10
8. 2/5
= 2/5
9. 2/6
> 1/6
10. 10/8
> 6/8
11. 8/11
> 4/11
12. 12/15
> 10/15
Parent Tip: Review the logic above to help your child master the concept of comparing fractions with unlike denominators.
