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Questions and Answers
What percentage of a grid is shaded if 25 out of 100 squares are shaded?
What percentage of a grid is shaded if 25 out of 100 squares are shaded?
25%
A grid has 64 out of 100 squares shaded. What is the percentage of shaded area?
A grid has 64 out of 100 squares shaded. What is the percentage of shaded area?
64%
Convert the fraction 3/4 into a percentage.
Convert the fraction 3/4 into a percentage.
75%
What division expression is equivalent to the fraction 7/10?
What division expression is equivalent to the fraction 7/10?
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How would you express 20% as a fraction?
How would you express 20% as a fraction?
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If 45 out of 100 squares in a grid are shaded, what fraction represents the shaded area?
If 45 out of 100 squares in a grid are shaded, what fraction represents the shaded area?
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Study Notes
Understanding Percentages and Division
- Percentages are related to division.
- To find the percentage of shaded area in a grid, divide the number of shaded squares by the total number of squares and multiply by 100%.
- Example: A grid with 40 shaded squares out of 100 has a shaded area of 40%.
- Another example: A grid with 71% shaded area (no exact number of squares given).
- A third example: A grid with 34 shaded squares out of 100 has a shaded area of 34%.
Fractions and Division
- Fractions can be equivalent to division expressions.
- Examples:
- 1/5 is equivalent to 1 ÷ 5.
- 1/8 is equivalent to 1 ÷ 8.
- 1/4 is equivalent to 1 ÷ 4.
- This relationship can be used to calculate percentages of shaded areas in grids.
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