Math Problem Statement

I see a table with columns for Percentage, Fraction, and Decimal, but it has some missing values. Let's fill in the missing entries based on the relationships between percentages, fractions, and decimals.

Solution

I see a table with columns for Percentage, Fraction, and Decimal, but it has some missing values. Let's fill in the missing entries based on the relationships between percentages, fractions, and decimals:

Here’s how the conversions work:

  • A percentage can be converted to a decimal by dividing by 100.
  • A percentage can be converted to a fraction by writing it over 100 and simplifying.
  • A decimal can be converted to a percentage by multiplying by 100.

Completed Table:

PercentageFractionDecimal
6.6/100 = 3/500.06
7. 70%7/100.70
8.4/50.8
9. 25%1/40.25
10.0/10.00

For row 8, the percentage equivalent of 0.8 is 80%, and for row 10, the percentage for 0.00 is 0%.

Let me know if you'd like further clarification on any of the steps!

Questions to deepen understanding:

  1. How would you convert 75% to a fraction and decimal?
  2. What is the decimal for 90%?
  3. Can you simplify 40% as a fraction?
  4. How do you convert 0.5 into a percentage?
  5. How would you convert 0.33 to a fraction?

Tip: Always simplify fractions when converting percentages to fractions to make them easier to understand.

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Math Problem Analysis

Mathematical Concepts

Percentage
Fraction
Decimal Conversions

Formulas

Percentage to Decimal: divide by 100
Percentage to Fraction: write as a fraction over 100, then simplify
Decimal to Percentage: multiply by 100

Theorems

Basic Fraction and Decimal Conversion

Suitable Grade Level

Grades 5-7