Let's solve the worksheet step by step.
The task is to
write the percentage that represents each given fraction of shaded parts out of 100. Since percentages are based on "per hundred," any number out of 100 can be directly written as a percentage by using that number with the % symbol.
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Understanding the Concept:
If
x out of 100 parts are shaded, then the percentage is:
$$
\frac{x}{100} = x\%
$$
So, we simply take the number and write it with a percent sign.
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Now let’s solve each one:
1)
10 out of 100 parts are shaded.
→ $ \frac{10}{100} = 10\% $
✔ (already given)
2)
6 out of 100 parts are shaded.
→ $ \frac{6}{100} = 6\% $
3)
48 out of 100 parts are shaded.
→ $ \frac{48}{100} = 48\% $
4)
30 out of 100 parts are shaded.
→ $ \frac{30}{100} = 30\% $
5)
11 out of 100 parts are shaded.
→ $ \frac{11}{100} = 11\% $
6)
25 out of 100 parts are shaded.
→ $ \frac{25}{100} = 25\% $
7)
73 out of 100 parts are shaded.
→ $ \frac{73}{100} = 73\% $
8)
8 out of 100 parts are shaded.
→ $ \frac{8}{100} = 8\% $
9)
14 out of 100 parts are shaded.
→ $ \frac{14}{100} = 14\% $
10)
95 out of 100 parts are shaded.
→ $ \frac{95}{100} = 95\% $
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✔ Final Answers:
1) 10%
2) 6%
3) 48%
4) 30%
5) 11%
6) 25%
7) 73%
8) 8%
9) 14%
10) 95%
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📌 Explanation:
Since all the fractions are already out of 100, converting them to percentages is straightforward: just take the numerator and add the % symbol. This is because
percentage means "per hundred", so:
$$
\frac{x}{100} = x\%
$$
This concept helps in understanding how fractions relate to percentages in real-world situations like grades, discounts, or statistics.
Let me know if you'd like a visual explanation or practice problems!
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet grade 7.
