Fractions, Decimals, and Percents Word Problems Worksheet | PDF ... - Free Printable

Since all user options (ExplainAnswer, TeachTopic, GeneratePractice) are false, I will only provide the Final Answer after working through each problem carefully.

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Problem 1: Which is the biggest number in each set?

a) 0.25 or 3/7
→ Convert 3/7 to decimal: 3 ÷ 7 ≈ 0.4286
→ 0.4286 > 0.25 → 3/7 is bigger

b) 2/3 or 66%
→ 2/3 ≈ 0.6667 → 66.67%
→ 66.67% > 66% → 2/3 is bigger

c) 95%, 17/200, or 0.099
→ 95% = 0.95
→ 17/200 = 0.085
→ 0.099 = 0.099
→ 0.95 > 0.099 > 0.085 → 95% is biggest

✔ Answers: a) 3/7, b) 2/3, c) 95%

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Problem 2: Which numbers have same value as...

a) 7/10 = 0.7 = 70% = 70/100
→ Match: 0.7, 70%, 70/100

b) 9.5% = 0.095 = 9.5/100 = 19/200 (since 9.5×2=19, 100×2=200)
→ Match: 0.095, 95/1000? Wait — 95/100 = 0.95 → too big.
Wait: 9.5% = 9.5 per 100 = 0.095
Also 19/200 = 19 ÷ 200 = 0.095 → yes
And 95/1000? Not listed. But 95/100 is wrong.
Looking at options:
0.0095 → too small
0.95 → too big
0.095 → correct
95/100 → 0.95 → no
9.5/10 → 0.95 → no
19/200 → 0.095 → yes
So matches: 0.095 and 19/200

✔ Answers:
a) 0.7, 70%, 70/100
b) 0.095, 19/200

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Problem 3: Compare test scores

Miriam: 2/3 correct → 2 ÷ 3 ≈ 0.6667 → 66.67%
Nina: 18 out of 25 → 18 ÷ 25 = 0.72 → 72%
Elio: 68%

Order lowest to highest:
66.67% (Miriam), 68% (Elio), 72% (Nina)

✔ Order: Miriam, Elio, Nina

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Problem 4: Who spends most on rent?

All get same loan amount → let’s call it $1 for simplicity.

Oscar: spends 73% → 0.73

Ivy: saves 1/4 → so spends 3/4 → 0.75

Lewis: spends : keeps = 4:1 → total parts = 5 → spends 4/5 = 0.80

Compare:
Oscar: 0.73
Ivy: 0.75
Lewis: 0.80 → highest

✔ Lewis spends the most on rent.

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Section B: Calculator Problems

Abdi: $0.60 per week → per month (4 weeks): 0.60 × 4 = $2.40
Batul: $6 every other week → per month (2 payments): 6 × 2 = $12
Careem: $20 per month

Total per month: 2.40 + 12 + 20 = $34.40

i) Abdi’s fraction of total: 2.40 / 34.40
Simplify: multiply numerator and denominator by 100 → 240 / 3440
Divide by 80: 240÷80=3, 3440÷80=43 → 3/43
Or divide by 10 first: 24/344 → divide by 8: 3/43

✔ i) 3/43

ii) Batul originally gets $6 every other week → $12/month
Now gets same as Careem → $20/month
Increase: 20 - 12 = $8
Percentage increase: (8 / 12) × 100% = 66.67% (or 2/3 ≈ 66.67%)

✔ ii) 66.67% (or 66⅔%)

iii) After increase, total pocket money per month:
Abdi: $2.40
Batul: $20
Careem: $20
Total: 2.40 + 20 + 20 = $42.40

This is 0.0208 of father’s monthly earnings.

Let F = father’s earnings
0.0208 × F = 42.40
F = 42.40 ÷ 0.0208

Calculate:
42.40 ÷ 0.0208 = 42400 ÷ 20.8 (multiply numerator and denominator by 1000)
Better: 42.40 ÷ 0.0208 = 42400 ÷ 20.8? Let’s do:

0.0208 × 2000 = 41.6
42.40 - 41.6 = 0.80
0.0208 × 38.46 ≈ 0.80? Better use calculator-style:

42.40 ÷ 0.0208 = 2038.4615... → approximately $2038.46

But let’s compute exactly:

42.40 ÷ 0.0208 = 42400 ÷ 20.8 = 424000 ÷ 208

Divide 424000 by 208:

208 × 2000 = 416000
Subtract: 424000 - 416000 = 8000
208 × 38 = 7904
8000 - 7904 = 96
208 × 0.4615 ≈ 96 → so 2000 + 38 + 0.4615 ≈ 2038.4615

So father earns $2038.46 per month.

But perhaps we should keep it as fraction or round reasonably.

Actually, 42.40 / 0.0208 = 42400 / 20.8 = 424000 / 208 = 53000 / 26 = 26500 / 13 ≈ 2038.4615

So $2038.46 is fine.

✔ iii) $2038.46

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Final Answer:
1a) 3/7, 1b) 2/3, 1c) 95%
2a) 0.7, 70%, 70/100; 2b) 0.095, 19/200
3) Miriam, Elio, Nina
4) Lewis
Section B: i) 3/43, ii) 66.67%, iii) $2038.46