Understanding Percentages and Division Worksheet

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6 Questions

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?

64%

Convert the fraction 3/4 into a percentage.

75%

What division expression is equivalent to the fraction 7/10?

7 ÷ 10

How would you express 20% as a fraction?

1/5

If 45 out of 100 squares in a grid are shaded, what fraction represents the shaded area?

45/100

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.

Learn about percentages and their relationship to division with this worksheet, featuring grid problems and equivalent fraction matching exercises.

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