Sure! Let’s solve each question step by step and explain the reasoning.
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1. Laura has some apples. Laura gives 50% of her apples to her neighbours and 25% of her apples to her family. What percentage of the apples does Laura have left for herself?
✔ Solution:
- Total percentage given away = 50% (to neighbours) + 25% (to family) =
75%
- Percentage left for herself = 100% - 75% =
25%
📌
Answer: 25%
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2. Draw lines to match up the fractions, percentages and decimals to their equivalents:
We’ll match each fraction with its decimal and percentage equivalent.
Let’s convert each fraction:
-
50/100 = 0.50 = 50%
-
18/100 = 0.18 = 18%
-
25/100 = 0.25 = 25%
-
35/100 = 0.35 = 35%
-
86/100 = 0.86 = 86%
Now match them:
| Fraction | Decimal | Percentage |
|----------|---------|----------|
| 50/100 | 0.5 | 50% |
| 18/100 | 0.18 | 18% |
| 25/100 | 0.25 | 25% |
| 35/100 | 0.35 | 35% |
| 86/100 | 0.86 | 86% |
✔ So the correct matching is:
- 50/100 → 0.5 → 50%
- 18/100 → 0.18 → 18%
- 25/100 → 0.25 → 25%
- 35/100 → 0.35 → 35%
- 86/100 → 0.86 → 86%
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3. Convert these percentages into fractions with the denominator as 100.
This is straightforward — just write the percentage over 100.
a) 30% =
30/100
b) 45% =
45/100
c) 15% =
15/100
d) 95% =
95/100
e) 60% =
60/100
f) 34% =
34/100
g) 76% =
76/100
h) 93% =
93/100
i) 26% =
26/100
j) 64% =
64/100
✔ All answers are simply the percentage number over 100.
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4. Convert these percentages into decimals.
To convert a percentage to a decimal, divide by 100 (or move the decimal point two places to the left).
a) 40% =
0.40
b) 35% =
0.35
c) 70% =
0.70
d) 95% =
0.95
e) 10% =
0.10
f) 37% =
0.37
g) 67% =
0.67
h) 21% =
0.21
i) 42% =
0.42
j) 86% =
0.86
✔ All answers are obtained by dividing the percentage by 100.
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✔ Final Answers Summary:
1. Laura has
25% left for herself.
2. Matching:
- 50/100 ↔ 0.5 ↔ 50%
- 18/100 ↔ 0.18 ↔ 18%
- 25/100 ↔ 0.25 ↔ 25%
- 35/100 ↔ 0.35 ↔ 35%
- 86/100 ↔ 0.86 ↔ 86%
3. Fractions with denominator 100:
a) 30/100
b) 45/100
c) 15/100
d) 95/100
e) 60/100
f) 34/100
g) 76/100
h) 93/100
i) 26/100
j) 64/100
4. Decimals:
a) 0.40
b) 0.35
c) 0.70
d) 0.95
e) 0.10
f) 0.37
g) 0.67
h) 0.21
i) 0.42
j) 0.86
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Let me know if you’d like this formatted as a worksheet or need help drawing the lines for question 2! 🍎📚
Parent Tip: Review the logic above to help your child master the concept of worksheet for fractions decimals and percentages.
