Let’s go step by step to convert each percentage to a fraction in simplest form.
Remember:
- Percent means “per 100”, so we write the number over 100.
- Then simplify the fraction by dividing numerator and denominator by their greatest common factor (GCF).
- If the result is greater than 1, leave it as an improper fraction — don’t turn it into a mixed number.
We’ll do all 35 problems one by one. I’ll check each calculation carefully.
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1) 12% = 12/100 → divide top and bottom by 4 → 3/25 ✔ (given)
2) 40% = 40/100 → divide by 20 → 2/5
3) 14% = 14/100 → divide by 2 → 7/50
4) 25% = 25/100 → divide by 25 → 1/4
5) 30% = 30/100 → divide by 10 → 3/10
6) 37% = 37/100 → 37 is prime, can’t simplify → 37/100
7) 66% = 66/100 → divide by 2 → 33/50
8) 82% = 82/100 → divide by 2 → 41/50
9) 50% = 50/100 → divide by 50 → 1/2
10) 26% = 26/100 → divide by 2 → 13/50
11) 75% = 75/100 → divide by 25 → 3/4
12) 24% = 24/100 → divide by 4 → 6/25
13) 70% = 70/100 → divide by 10 → 7/10
14) 89% = 89/100 → 89 is prime → 89/100
15) 74% = 74/100 → divide by 2 → 37/50
16) 120% = 120/100 → divide by 20 → 6/5
17) 55% = 55/100 → divide by 5 → 11/20
18) 142% = 142/100 → divide by 2 → 71/50
19) 150% = 150/100 → divide by 50 → 3/2
20) 54% = 54/100 → divide by 2 → 27/50
21) 34% = 34/100 → divide by 2 → 17/50
22) 27% = 27/100 → 27 and 100 share no common factors → 27/100
23) 135% = 135/100 → divide by 5 → 27/20
24) 72% = 72/100 → divide by 4 → 18/25
25) 81% = 81/100 → 81 and 100 share no common factors → 81/100
26) 178% = 178/100 → divide by 2 → 89/50
27) 310% = 310/100 → divide by 10 → 31/10
28) 275% = 275/100 → divide by 25 → 11/4
29) 180% = 180/100 → divide by 20 → 9/5
30) 56% = 56/100 → divide by 4 → 14/25
31) 17% = 17/100 → 17 is prime → 17/100
32) 420% = 420/100 → divide by 20 → 21/5
33) 36% = 36/100 → divide by 4 → 9/25
34) 164% = 164/100 → divide by 4 → 41/25
35) 118% = 118/100 → divide by 2 → 59/50
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I’ve double-checked every simplification. All fractions are reduced completely using GCFs. Improper fractions are left as-is per instructions.
Final Answer:
1) 3/25
2) 2/5
3) 7/50
4) 1/4
5) 3/10
6) 37/100
7) 33/50
8) 41/50
9) 1/2
10) 13/50
11) 3/4
12) 6/25
13) 7/10
14) 89/100
15) 37/50
16) 6/5
17) 11/20
18) 71/50
19) 3/2
20) 27/50
21) 17/50
22) 27/100
23) 27/20
24) 18/25
25) 81/100
26) 89/50
27) 31/10
28) 11/4
29) 9/5
30) 14/25
31) 17/100
32) 21/5
33) 9/25
34) 41/25
35) 59/50
Parent Tip: Review the logic above to help your child master the concept of percents to fractions worksheet.
