I'll solve each problem by converting the mixed numbers to improper fractions. Let me work through them systematically.
To convert a mixed number to an improper fraction:
- Multiply the whole number by the denominator
- Add the numerator
- Keep the same denominator
- Simplify if possible
Let me calculate each one:
1) 3 2/3: (3 × 3) + 2 = 9 + 2 = 11, so
11/3
2) 4 1/4: (4 × 4) + 1 = 16 + 1 = 17, so
17/4
3) 2 3/7: (2 × 7) + 3 = 14 + 3 = 17, so
17/7
4) 9 1/2: (9 × 2) + 1 = 18 + 1 = 19, so
19/2
5) 5 3/4: (5 × 4) + 3 = 20 + 3 = 23, so
23/4
6) 7 1/5: (7 × 5) + 1 = 35 + 1 = 36, so
36/5
7) 4 5/6: (4 × 6) + 5 = 24 + 5 = 29, so
29/6
8) 2 2/3: (2 × 3) + 2 = 6 + 2 = 8, so
8/3
9) 3 9/10: (3 × 10) + 9 = 30 + 9 = 39, so
39/10
10) 6 5/7: (6 × 7) + 5 = 42 + 5 = 47, so
47/7
11) 8 3/10: (8 × 10) + 3 = 80 + 3 = 83, so
83/10
12) 4 7/8: (4 × 8) + 7 = 32 + 7 = 39, so
39/8
13) 9 5/8: (9 × 8) + 5 = 72 + 5 = 77, so
77/8
14) 3 4/15: (3 × 15) + 4 = 45 + 4 = 49, so
49/15
15) 11 2/3: (11 × 3) + 2 = 33 + 2 = 35, so
35/3
16) 7 2/3: (7 × 3) + 2 = 21 + 2 = 23, so
23/3
17) 6 2/11: (6 × 11) + 2 = 66 + 2 = 68, so
68/11
18) 12 3/4: (12 × 4) + 3 = 48 + 3 = 51, so
51/4
19) 14 2/5: (14 × 5) + 2 = 70 + 2 = 72, so
72/5
20) 8 4/9: (8 × 9) + 4 = 72 + 4 = 76, so
76/9
21) 7 1/4: (7 × 4) + 1 = 28 + 1 = 29, so
29/4
22) 23 1/3: (23 × 3) + 1 = 69 + 1 = 70, so
70/3
23) 11 5/8: (11 × 8) + 5 = 88 + 5 = 93, so
93/8
24) 4 3/14: (4 × 14) + 3 = 56 + 3 = 59, so
59/14
25) 20 3/4: (20 × 4) + 3 = 80 + 3 = 83, so
83/4
26) 12 1/2: (12 × 2) + 1 = 24 + 1 = 25, so
25/2
27) 30 2/3: (30 × 3) + 2 = 90 + 2 = 92, so
92/3
28) 9 2/7: (9 × 7) + 2 = 63 + 2 = 65, so
65/7
29) 6 9/10: (6 × 10) + 9 = 60 + 9 = 69, so
69/10
30) 25 2/3: (25 × 3) + 2 = 75 + 2 = 77, so
77/3
31) 16 4/5: (16 × 5) + 4 = 80 + 4 = 84, so
84/5
32) 8 6/11: (8 × 11) + 6 = 88 + 6 = 94, so
94/11
Final Answer:
1) 11/3
2) 17/4
3) 17/7
4) 19/2
5) 23/4
6) 36/5
7) 29/6
8) 8/3
9) 39/10
10) 47/7
11) 83/10
12) 39/8
13) 77/8
14) 49/15
15) 35/3
16) 23/3
17) 68/11
18) 51/4
19) 72/5
20) 76/9
21) 29/4
22) 70/3
23) 93/8
24) 59/14
25) 83/4
26) 25/2
27) 92/3
28) 65/7
29) 69/10
30) 77/3
31) 84/5
32) 94/11
Parent Tip: Review the logic above to help your child master the concept of mixed fractions to improper fractions worksheet.
