Absolutely! Let's solve the problem of
converting mixed numbers to improper fractions.
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✔ What is a Mixed Number?
A mixed number has two parts:
- A
whole number (like 7, 2, 3, etc.)
- A
proper fraction (like 1/3, 9/10, etc.)
Example: `7 1/3` means 7 whole units plus 1/3 of another unit.
---
✔ What is an Improper Fraction?
An improper fraction is a fraction where the
numerator (top number) is greater than or equal to the denominator (bottom number).
Example: `22/3` is improper because 22 > 3.
---
🔄 How to Convert a Mixed Number to an Improper Fraction
Use this simple formula:
>
Improper Fraction = (Whole Number × Denominator) + Numerator, all over the
Denominator
In math terms:
> `(Whole × Denominator + Numerator) / Denominator`
---
Let’s apply this to each problem:
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🔢 Problem Solutions:
#### 1) `7 1/3`
→ (7 × 3 + 1) / 3 = (21 + 1)/3 =
22/3
#### 2) `7 9/10`
→ (7 × 10 + 9) / 10 = (70 + 9)/10 =
79/10
#### 3) `7 3/4`
→ (7 × 4 + 3) / 4 = (28 + 3)/4 =
31/4
#### 4) `2 1/2`
→ (2 × 2 + 1) / 2 = (4 + 1)/2 =
5/2
#### 5) `8 4/7`
→ (8 × 7 + 4) / 7 = (56 + 4)/7 =
60/7
#### 6) `2 3/5`
→ (2 × 5 + 3) / 5 = (10 + 3)/5 =
13/5
#### 7) `3 5/8`
→ (3 × 8 + 5) / 8 = (24 + 5)/8 =
29/8
#### 8) `6 7/9`
→ (6 × 9 + 7) / 9 = (54 + 7)/9 =
61/9
#### 9) `9 1/8`
→ (9 × 8 + 1) / 8 = (72 + 1)/8 =
73/8
#### 10) `6 2/5`
→ (6 × 5 + 2) / 5 = (30 + 2)/5 =
32/5
#### 11) `4 1/3`
→ (4 × 3 + 1) / 3 = (12 + 1)/3 =
13/3
#### 12) `2 2/3`
→ (2 × 3 + 2) / 3 = (6 + 2)/3 =
8/3
#### 13) `8 1/2`
→ (8 × 2 + 1) / 2 = (16 + 1)/2 =
17/2
#### 14) `4 3/10`
→ (4 × 10 + 3) / 10 = (40 + 3)/10 =
43/10
#### 15) `8 4/5`
→ (8 × 5 + 4) / 5 = (40 + 4)/5 =
44/5
---
✔ Final Answer Key:
1)
22/3
2)
79/10
3)
31/4
4)
5/2
5)
60/7
6)
13/5
7)
29/8
8)
61/9
9)
73/8
10)
32/5
11)
13/3
12)
8/3
13)
17/2
14)
43/10
15)
44/5
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💡 Tip for Students:
Always double-check your multiplication and addition — it’s easy to make small arithmetic errors. You can also draw a picture or use fraction circles to visualize why this conversion works!
Let me know if you’d like to convert them back to mixed numbers or simplify any of these! 😊
Parent Tip: Review the logic above to help your child master the concept of mixed fractions worksheet.
