Problem Analysis:
The task involves converting between percents, decimals, and fractions. Let's solve each question step by step.
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Question 1: What is the fraction equivalent of 40%?
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Solution:
- To convert a percent to a fraction, divide the percent by 100.
- \( 40\% = \frac{40}{100} \).
- Simplify the fraction: \( \frac{40}{100} = \frac{4}{10} = \frac{2}{5} \).
- Therefore, the fraction equivalent of 40% is \( \frac{2}{5} \).
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Correct Answer:
D. 2/5
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Question 2: Convert 4/5 to a percent.
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Solution:
- To convert a fraction to a percent, first convert it to a decimal by dividing the numerator by the denominator.
- \( \frac{4}{5} = 0.8 \).
- Then, multiply the decimal by 100 to get the percent.
- \( 0.8 \times 100 = 80\% \).
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Correct Answer:
C. 80%
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Question 3: 28% as a fraction is ______.
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Solution:
- To convert a percent to a fraction, divide the percent by 100.
- \( 28\% = \frac{28}{100} \).
- Simplify the fraction: \( \frac{28}{100} = \frac{14}{50} = \frac{7}{25} \).
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Correct Answer:
C. 7/25
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Question 4: Express 0.87 as a percent.
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Solution:
- To convert a decimal to a percent, multiply the decimal by 100.
- \( 0.87 \times 100 = 87\% \).
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Correct Answer:
B. 87%
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Question 5: Express 56% as a decimal.
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Solution:
- To convert a percent to a decimal, divide the percent by 100.
- \( 56\% = \frac{56}{100} = 0.56 \).
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Correct Answer:
D. 0.56
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Question 6: Express 0.08 as a percent.
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Solution:
- To convert a decimal to a percent, multiply the decimal by 100.
- \( 0.08 \times 100 = 8\% \).
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Correct Answer:
B. 8%
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Question 7: Write a percent to represent the shaded portion of the model.
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Image Description:
- The image shows a grid with 10 equal parts.
- Out of these 10 parts, 6 are shaded.
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Solution:
- The shaded portion is \( \frac{6}{10} \).
- Convert this fraction to a percent by multiplying by 100.
- \( \frac{6}{10} \times 100 = 60\% \).
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Correct Answer:
60%
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Final Answers:
1.
D. 2/5
2.
C. 80%
3.
C. 7/25
4.
B. 87%
5.
D. 0.56
6.
B. 8%
7.
60%
Boxed Final Answer:
\[
\boxed{D, C, C, B, D, B, 60\%}
\]
Parent Tip: Review the logic above to help your child master the concept of percents fractions and decimals worksheet 7th grade.
