Let’s solve each problem step by step.
To convert a mixed number to an improper fraction:
1. Multiply the whole number by the denominator.
2. Add the numerator to that result.
3. Put that sum over the original denominator.
We’ll do this for all 15 problems.
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Problem 1: 4 5/7
Step 1: 4 × 7 = 28
Step 2: 28 + 5 = 33
Answer:
33/7
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Problem 2: 3 5/7
Step 1: 3 × 7 = 21
Step 2: 21 + 5 = 26
Answer:
26/7
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Problem 3: 3 4/7
Step 1: 3 × 7 = 21
Step 2: 21 + 4 = 25
Answer:
25/7
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Problem 4: 2 3/8
Step 1: 2 × 8 = 16
Step 2: 16 + 3 = 19
Answer:
19/8
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Problem 5: 1 5/6
Step 1: 1 × 6 = 6
Step 2: 6 + 5 = 11
Answer:
11/6
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Problem 6: 3 4/7
Wait — this is same as Problem 3? Let me check image again... Actually, in the image, problem 6 is “3 4/7” — yes, same as #3. But maybe it’s a typo? No, let’s just solve as written.
Step 1: 3 × 7 = 21
Step 2: 21 + 4 = 25
Answer:
25/7
*(Note: If this was meant to be different, but based on what’s shown, we go with it.)*
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Problem 7: 3 1/3
Step 1: 3 × 3 = 9
Step 2: 9 + 1 = 10
Answer:
10/3
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Problem 8: 2 7/9
Step 1: 2 × 9 = 18
Step 2: 18 + 7 = 25
Answer:
25/9
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Problem 9: 1 3/5
Step 1: 1 × 5 = 5
Step 2: 5 + 3 = 8
Answer:
8/5
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Problem 10: 2 8/9
Step 1: 2 × 9 = 18
Step 2: 18 + 8 = 26
Answer:
26/9
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Problem 11: 2 2/3
Step 1: 2 × 3 = 6
Step 2: 6 + 2 = 8
Answer:
8/3
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Problem 12: 1 2/7
Step 1: 1 × 7 = 7
Step 2: 7 + 2 = 9
Answer:
9/7
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Problem 13: 3 2/5
Step 1: 3 × 5 = 15
Step 2: 15 + 2 = 17
Answer:
17/5
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Problem 14: 4 3/6
First, note: 3/6 can be simplified, but since we’re converting to improper fraction, we don’t need to simplify unless asked. We’ll keep it as is for now.
Step 1: 4 × 6 = 24
Step 2: 24 + 3 = 27
Answer:
27/6
*(Optional simplification: 27 ÷ 3 = 9, 6 ÷ 3 = 2 → 9/2, but unless told to simplify, leave as 27/6. Since the example didn’t simplify, we won’t either.)*
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Problem 15: 1 3/5
Same as Problem 9?
Step 1: 1 × 5 = 5
Step 2: 5 + 3 = 8
Answer:
8/5
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Now, let’s list all answers clearly:
1) 33/7
2) 26/7
3) 25/7
4) 19/8
5) 11/6
6) 25/7
7) 10/3
8) 25/9
9) 8/5
10) 26/9
11) 8/3
12) 9/7
13) 17/5
14) 27/6
15) 8/5
Double-checking a few random ones:
- #14: 4 3/6 → 4×6=24+3=27 → 27/6 ✔️
- #11: 2 2/3 → 2×3=6+2=8 → 8/3 ✔️
- #8: 2 7/9 → 2×9=18+7=25 → 25/9 ✔️
All look correct.
Final Answer:
1) 33/7
2) 26/7
3) 25/7
4) 19/8
5) 11/6
6) 25/7
7) 10/3
8) 25/9
9) 8/5
10) 26/9
11) 8/3
12) 9/7
13) 17/5
14) 27/6
15) 8/5
Parent Tip: Review the logic above to help your child master the concept of mixed fraction worksheet.
