Let’s solve each mixed number conversion 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 go one by one:
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Left Column:
1.
4 3/4
→ (4 × 4) + 3 = 16 + 3 = 19 →
19/4
2.
5 3/5
→ (5 × 5) + 3 = 25 + 3 = 28 →
28/5
3.
3 1/4
→ (3 × 4) + 1 = 12 + 1 = 13 →
13/4
4.
2 1/3
→ (2 × 3) + 1 = 6 + 1 = 7 →
7/3
5.
8 3/7
→ (8 × 7) + 3 = 56 + 3 = 59 →
59/7
6.
7 1/10
→ (7 × 10) + 1 = 70 + 1 = 71 →
71/10
7.
9 1/3
→ (9 × 3) + 1 = 27 + 1 = 28 →
28/3
8.
4 8/9
→ (4 × 9) + 8 = 36 + 8 = 44 →
44/9
9.
5 2/3
→ (5 × 3) + 2 = 15 + 2 = 17 →
17/3
10.
5 1/8
→ (5 × 8) + 1 = 40 + 1 = 41 →
41/8
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Right Column:
11.
3 1/2
→ (3 × 2) + 1 = 6 + 1 = 7 →
7/2
12.
4 1/2
→ (4 × 2) + 1 = 8 + 1 = 9 →
9/2
13.
5 3/4
→ (5 × 4) + 3 = 20 + 3 = 23 →
23/4
14.
7 2/9
→ (7 × 9) + 2 = 63 + 2 = 65 →
65/9
15.
2 3/5
→ (2 × 5) + 3 = 10 + 3 = 13 →
13/5
16.
4 2/3
→ (4 × 3) + 2 = 12 + 2 = 14 →
14/3
17.
7 1/3
→ (7 × 3) + 1 = 21 + 1 = 22 →
22/3
18.
9 3/4
→ (9 × 4) + 3 = 36 + 3 = 39 →
39/4
19.
3 2/5
→ (3 × 5) + 2 = 15 + 2 = 17 →
17/5
20.
6 1/2
→ (6 × 2) + 1 = 12 + 1 = 13 →
13/2
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All calculations have been double-checked for accuracy.
Final Answer:
4 3/4 = 19/4
5 3/5 = 28/5
3 1/4 = 13/4
2 1/3 = 7/3
8 3/7 = 59/7
7 1/10 = 71/10
9 1/3 = 28/3
4 8/9 = 44/9
5 2/3 = 17/3
5 1/8 = 41/8
3 1/2 = 7/2
4 1/2 = 9/2
5 3/4 = 23/4
7 2/9 = 65/9
2 3/5 = 13/5
4 2/3 = 14/3
7 1/3 = 22/3
9 3/4 = 39/4
3 2/5 = 17/5
6 1/2 = 13/2
Parent Tip: Review the logic above to help your child master the concept of improper and mixed fractions worksheet.
