Let’s simplify each fraction step by step. To reduce a fraction, we divide both the top (numerator) and bottom (denominator) by their greatest common factor (GCF). We’ll go one by one.
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First row:
1.
27/81
Both divisible by 27 → 27 ÷ 27 = 1, 81 ÷ 27 = 3 →
1/3
2.
49/98
Both divisible by 49 → 49 ÷ 49 = 1, 98 ÷ 49 = 2 →
1/2
3.
72/96
GCF is 24 → 72 ÷ 24 = 3, 96 ÷ 24 = 4 →
3/4
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Second row:
4.
5/60
Divisible by 5 → 5 ÷ 5 = 1, 60 ÷ 5 = 12 →
1/12
5.
12/40
GCF is 4 → 12 ÷ 4 = 3, 40 ÷ 4 = 10 →
3/10
6.
55/75
GCF is 5 → 55 ÷ 5 = 11, 75 ÷ 5 = 15 →
11/15
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Third row:
7.
13/78
13 divides into 78 six times → 13 ÷ 13 = 1, 78 ÷ 13 = 6 →
1/6
8.
35/45
GCF is 5 → 35 ÷ 5 = 7, 45 ÷ 5 = 9 →
7/9
9.
3/30
Divisible by 3 → 3 ÷ 3 = 1, 30 ÷ 3 = 10 →
1/10
10.
3/45
Divisible by 3 → 3 ÷ 3 = 1, 45 ÷ 3 = 15 →
1/15
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Fourth row:
11.
21/56
GCF is 7 → 21 ÷ 7 = 3, 56 ÷ 7 = 8 →
3/8
12.
16/80
GCF is 16 → 16 ÷ 16 = 1, 80 ÷ 16 = 5 →
1/5
13.
6/84
GCF is 6 → 6 ÷ 6 = 1, 84 ÷ 6 = 14 →
1/14
14.
36/80
GCF is 4 → 36 ÷ 4 = 9, 80 ÷ 4 = 20 →
9/20
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Fifth row:
15.
3/66
Divisible by 3 → 3 ÷ 3 = 1, 66 ÷ 3 = 22 →
1/22
16.
27/42
GCF is 3 → 27 ÷ 3 = 9, 42 ÷ 3 = 14 →
9/14
17.
12/90
GCF is 6 → 12 ÷ 6 = 2, 90 ÷ 6 = 15 →
2/15
18.
8/21
No common factors other than 1 → already simplified →
8/21
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Sixth row:
19.
20/75
GCF is 5 → 20 ÷ 5 = 4, 75 ÷ 5 = 15 →
4/15
20.
28/76
GCF is 4 → 28 ÷ 4 = 7, 76 ÷ 4 = 19 →
7/19
21.
12/44
GCF is 4 → 12 ÷ 4 = 3, 44 ÷ 4 = 11 →
3/11
22.
16/72
GCF is 8 → 16 ÷ 8 = 2, 72 ÷ 8 = 9 →
2/9
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Seventh row:
23.
51/68
GCF is 17 → 51 ÷ 17 = 3, 68 ÷ 17 = 4 →
3/4
24.
66/99
GCF is 33 → 66 ÷ 33 = 2, 99 ÷ 33 = 3 →
2/3
25.
42/70
GCF is 14 → 42 ÷ 14 = 3, 70 ÷ 14 = 5 →
3/5
26.
15/90
GCF is 15 → 15 ÷ 15 = 1, 90 ÷ 15 = 6 →
1/6
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Eighth row:
27.
12/51
GCF is 3 → 12 ÷ 3 = 4, 51 ÷ 3 = 17 →
4/17
28.
12/96
GCF is 12 → 12 ÷ 12 = 1, 96 ÷ 12 = 8 →
1/8
29.
20/70
GCF is 10 → 20 ÷ 10 = 2, 70 ÷ 10 = 7 →
2/7
30.
14/91
GCF is 7 → 14 ÷ 7 = 2, 91 ÷ 7 = 13 →
2/13
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Final Answer:
1/3, 1/2, 3/4,
1/12, 3/10, 11/15,
1/6, 7/9, 1/10, 1/15,
3/8, 1/5, 1/14, 9/20,
1/22, 9/14, 2/15, 8/21,
4/15, 7/19, 3/11, 2/9,
3/4, 2/3, 3/5, 1/6,
4/17, 1/8, 2/7, 2/13
Parent Tip: Review the logic above to help your child master the concept of simplifying fractions worksheet grade 6.