To convert a
mixed number (like `a b/c`) to an
improper fraction, follow this simple rule:
>
Multiply the whole number by the denominator, then add the numerator. Keep the same denominator.
So, formula:
Improper Fraction = (Whole Number × Denominator + Numerator) / Denominator
---
Let’s solve each one step-by-step:
---
Left Column:
1.
4 3/4
→ (4 × 4 + 3) / 4 = (16 + 3)/4 =
19/4
2.
5 3/5
→ (5 × 5 + 3) / 5 = (25 + 3)/5 =
28/5
3.
3 1/4
→ (3 × 4 + 1) / 4 = (12 + 1)/4 =
13/4
4.
2 1/3
→ (2 × 3 + 1) / 3 = (6 + 1)/3 =
7/3
5.
8 3/7
→ (8 × 7 + 3) / 7 = (56 + 3)/7 =
59/7
6.
7 1/10
→ (7 × 10 + 1) / 10 = (70 + 1)/10 =
71/10
7.
9 1/3
→ (9 × 3 + 1) / 3 = (27 + 1)/3 =
28/3
8.
4 8/9
→ (4 × 9 + 8) / 9 = (36 + 8)/9 =
44/9
9.
5 2/3
→ (5 × 3 + 2) / 3 = (15 + 2)/3 =
17/3
10.
5 1/8
→ (5 × 8 + 1) / 8 = (40 + 1)/8 =
41/8
---
Right Column:
1.
3 1/2
→ (3 × 2 + 1) / 2 = (6 + 1)/2 =
7/2
2.
4 1/2
→ (4 × 2 + 1) / 2 = (8 + 1)/2 =
9/2
3.
5 3/4
→ (5 × 4 + 3) / 4 = (20 + 3)/4 =
23/4
4.
7 2/9
→ (7 × 9 + 2) / 9 = (63 + 2)/9 =
65/9
5.
2 3/5
→ (2 × 5 + 3) / 5 = (10 + 3)/5 =
13/5
6.
4 2/3
→ (4 × 3 + 2) / 3 = (12 + 2)/3 =
14/3
7.
7 1/3
→ (7 × 3 + 1) / 3 = (21 + 1)/3 =
22/3
8.
9 3/4
→ (9 × 4 + 3) / 4 = (36 + 3)/4 =
39/4
9.
3 2/5
→ (3 × 5 + 2) / 5 = (15 + 2)/5 =
17/5
10.
6 1/2
→ (6 × 2 + 1) / 2 = (12 + 1)/2 =
13/2
---
✔ Final Answers (in order, left to right, top to bottom):
Left Column:
19/4, 28/5, 13/4, 7/3, 59/7, 71/10, 28/3, 44/9, 17/3, 41/8
Right Column:
7/2, 9/2, 23/4, 65/9, 13/5, 14/3, 22/3, 39/4, 17/5, 13/2
---
📌
Tip: Always double-check your multiplication and addition — it’s easy to make small arithmetic errors!
Let me know if you’d like to see how to simplify any of these or convert them back!
Parent Tip: Review the logic above to help your child master the concept of convert mixed number to improper fraction worksheet.
