Convert improper fractions to mixed numbers with this math worksheet, including examples and practice problems.

Since both ExplainAnswer and TeachTopic are false, we will only provide the final answers to all 17 problems on the worksheet — after carefully solving each one step by step.

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We’re converting improper fractions (where numerator > denominator) into mixed numbers.
The rule:
→ Divide numerator by denominator → quotient = whole number
→ Remainder becomes new numerator
→ Denominator stays the same

Let’s solve each:

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1) 24/10
24 ÷ 10 = 2 remainder 4 → 2 4/10 → simplify? The worksheet doesn’t ask for simplification, so leave as is. But let’s check example: 25/3 = 8 1/3 — they didn’t reduce 1/3 because it can’t be reduced. So we’ll keep unreduced unless specified. Actually, looking at problem 24/10 — maybe reduce? Wait, in the instructions, no mention of reducing. Example: 25÷3=8 r1 → 8 1/3 — not reduced further since 1/3 is simplest. For 24/10, remainder 4 over 10 → can reduce to 2/5? But worksheet doesn’t specify. Let’s look at other problems — e.g., 58/6 later — probably expect simplified? Hmm. Actually, in school worksheets like this, often they want simplified form. Let me check the example again: 25/3 = 8 1/3 — 1 and 3 have no common factors, so it’s already simple. For 24/10: 4 and 10 share factor 2 → 2/5. But wait — the instruction says “convert”, not “simplify”. However, in most curricula, you simplify the fractional part. To be safe, I’ll simplify where possible. But let’s see what the answer key might expect. Since this is a standard worksheet, I think they expect simplified mixed numbers. Let me proceed with simplifying the fraction part when possible.

Actually, looking at problem 10: 13/3 = 4 1/3 — correct, no reduction needed. Problem 11: 74/7 = 10 4/7 — 4 and 7 coprime. Problem 12: 14/4 = 3 2/4 → should be 3 1/2? But again, depends. I think for consistency, I’ll simplify the fractional part if numerator and denominator have common factors.

But to match typical expectations, I’ll simplify.

Wait — let’s do all without simplifying first, then decide.

Actually, let’s follow the example exactly: 25/3 = 8 1/3 — they did not write 8 2/6 or anything. So they just take remainder over original denominator. So perhaps no simplification required. In that case, we leave as is.

I think for this worksheet, since it's introductory, they don't require simplification. We'll convert directly.

So:

1) 24 ÷ 10 = 2 r4 → 2 4/10

But let me confirm with another: say problem 5: 20/8 = 2 r4 → 2 4/8 — which reduces to 2 1/2, but if we don’t reduce, it’s 2 4/8. I think for now, I’ll go with direct conversion without simplifying, as per example.

Example: 25/3 = 8 1/3 — 25÷3=8 rem 1, denom 3 → 8 1/3. No simplification shown.

So I’ll do the same.

Proceeding:

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1) 24/10 = 2 r4 → 2 4/10

2) 58/9 = 6 r4 → 6 4/9 (since 9×6=54, 58-54=4)

3) 21/2 = 10 r1 → 10 1/2

4) 77/8 = 9 r5 → 9 5/8 (8×9=72, 77-72=5)

5) 20/8 = 2 r4 → 2 4/8

6) 58/6 = 9 r4 → 9 4/6 (6×9=54, 58-54=4)

7) 22/6 = 3 r4 → 3 4/6 (6×3=18, 22-18=4)

8) 3/2 = 1 r1 → 1 1/2

9) 54/8 = 6 r6 → 6 6/8 (8×6=48, 54-48=6)

10) 13/3 = 4 r1 → 4 1/3

11) 74/7 = 10 r4 → 10 4/7 (7×10=70, 74-70=4)

12) 14/4 = 3 r2 → 3 2/4

13) 31/8 = 3 r7 → 3 7/8 (8×3=24, 31-24=7)

14) 31/4 = 7 r3 → 7 3/4 (4×7=28, 31-28=3)

15) 92/9 = 10 r2 → 10 2/9 (9×10=90, 92-90=2)

16) 16/6 = 2 r4 → 2 4/6

17) 33/9 = 3 r6 → 3 6/9

Now, double-check calculations:

1) 24÷10=2.4 → 2 + 4/10 ✓
2) 58÷9≈6.444 → 6 + 4/9 ✓
3) 21÷2=10.5 → 10 + 1/2 ✓
4) 77÷8=9.625 → 9 + 5/8 ✓
5) 20÷8=2.5 → 2 + 4/8 ✓
6) 58÷6≈9.666 → 9 + 4/6 ✓
7) 22÷6≈3.666 → 3 + 4/6 ✓
8) 3÷2=1.5 → 1 + 1/2 ✓
9) 54÷8=6.75 → 6 + 6/8 ✓
10) 13÷3≈4.333 → 4 + 1/3 ✓
11) 74÷7≈10.571 → 10 + 4/7 ✓
12) 14÷4=3.5 → 3 + 2/4 ✓
13) 31÷8=3.875 → 3 + 7/8 ✓
14) 31÷4=7.75 → 7 + 3/4 ✓
15) 92÷9≈10.222 → 10 + 2/9 ✓
16) 16÷6≈2.666 → 2 + 4/6 ✓
17) 33÷9≈3.666 → 3 + 6/9 ✓

All correct.

Note: Some could be simplified (like 4/10 to 2/5), but based on the example given (25/3 = 8 1/3, no simplification mentioned), we leave them as is.

Final Answers:

1) 2 4/10
2) 6 4/9
3) 10 1/2
4) 9 5/8
5) 2 4/8
6) 9 4/6
7) 3 4/6
8) 1 1/2
9) 6 6/8
10) 4 1/3
11) 10 4/7
12) 3 2/4
13) 3 7/8
14) 7 3/4
15) 10 2/9
16) 2 4/6
17) 3 6/9

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Final Answer:
1) 2 4/10
2) 6 4/9
3) 10 1/2
4) 9 5/8
5) 2 4/8
6) 9 4/6
7) 3 4/6
8) 1 1/2
9) 6 6/8
10) 4 1/3
11) 10 4/7
12) 3 2/4
13) 3 7/8
14) 7 3/4
15) 10 2/9
16) 2 4/6
17) 3 6/9