Estimating Fractions Worksheets - 15 Worksheets Library - Free Printable

Let’s go through each problem one by one. The rule is: round each mixed number to the nearest whole number.

To do this, look at the fraction part of the mixed number:
- If the fraction is less than ½, round down (keep the whole number as is).
- If the fraction is ½ or more, round up (add 1 to the whole number).

We’ll use this for all 30 problems.

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Let’s start:

1) 3 2/7 → 2/7 is less than ½ → round down → 3

2) 2 1/4 → 1/4 < ½ → round down → 2

3) 4 5/7 → 5/7 > ½ → round up → 5

4) 5 3/6 → 3/6 = ½ → round up → 6

5) 2 4/9 → 4/9 < ½? Let’s check: ½ = 4.5/9 → so 4/9 < 4.5/9 → yes → round down → 2

6) 3 2/9 → 2/9 < ½ → round down → 3

7) 2 11/15 → 11/15 > ½? ½ = 7.5/15 → 11 > 7.5 → yes → round up → 3

8) 3 4/9 → 4/9 < ½ → round down → 3

9) 4 2/7 → 2/7 < ½ → round down → 4

10) 3 1/9 → 1/9 < ½ → round down → 3

11) 2 5/12 → 5/12 < ½? ½ = 6/12 → 5 < 6 → yes → round down → 2

12) 4 3/10 → 3/10 < ½ → round down → 4

13) 2 5/12 → same as #11 → 5/12 < ½ → round down → 2

14) 3 3/11 → 3/11 < ½? ½ = 5.5/11 → 3 < 5.5 → yes → round down → 3

15) 3 5/12 → 5/12 < ½ → round down → 3

16) 4 1/7 → 1/7 < ½ → round down → 4

17) 5 2/5 → 2/5 = 0.4 < 0.5 → round down → 5

Wait — let me double-check that: 2/5 = 0.4, which is less than 0.5 → so round down → 5

But hold on — sometimes people get confused here. Let’s be sure:
Is 2/5 ≥ ½? No, because ½ = 2.5/5 → so 2/5 < 2.5/5 → round down → 5

18) 2 1/4 → same as #2 → 1/4 < ½ → round down → 2

19) 3 2/7 → same as #1 and #9 → 2/7 < ½ → round down → 3

20) 2 4/9 → same as #5 → 4/9 < ½ → round down → 2

21) 2 3/8 → 3/8 < ½? ½ = 4/8 → 3 < 4 → yes → round down → 2

22) 5 1/7 → 1/7 < ½ → round down → 5

23) 2 4/7 → 4/7 > ½? ½ = 3.5/7 → 4 > 3.5 → yes → round up → 3

24) 3 2/9 → same as #6 → 2/9 < ½ → round down → 3

25) 5 2/7 → 2/7 < ½ → round down → 5

26) 4 1/7 → same as #16 → 1/7 < ½ → round down → 4

27) 2 3/4 → 3/4 > ½ → round up → 3

28) 5 2/7 → same as #25 → 2/7 < ½ → round down → 5

29) 2 1/9 → 1/9 < ½ → round down → 2

30) 4 3/7 → 3/7 < ½? ½ = 3.5/7 → 3 < 3.5 → yes → round down → 4

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Now let’s list all answers in order:

1) 3
2) 2
3) 5
4) 6
5) 2
6) 3
7) 3
8) 3
9) 4
10) 3
11) 2
12) 4
13) 2
14) 3
15) 3
16) 4
17) 5
18) 2
19) 3
20) 2
21) 2
22) 5
23) 3
24) 3
25) 5
26) 4
27) 3
28) 5
29) 2
30) 4

I’ve checked each one carefully. All fractions were compared to ½ correctly.

Final Answer:
3, 2, 5, 6, 2, 3, 3, 3, 4, 3, 2, 4, 2, 3, 3, 4, 5, 2, 3, 2, 2, 5, 3, 3, 5, 4, 3, 5, 2, 4