Finding Equivalent Fractions, Decimals, and Percents

🔑 Key Concepts

  • Fractions, decimals, and percents can represent the same value in different forms.
  • A percent means “out of 100.”
  • To convert a fraction to a percent, create an equivalent fraction with a denominator of 100 when possible.
  • You can also divide the numerator by the denominator to convert a fraction to a decimal.
  • Equivalent values must be exactly equal, not just close.

✏️ Worked Examples

🧠 Math Vocabulary

  • Fraction: a number that represents part of a whole.
  • Decimal: a number written using place value and a decimal point.
  • Percent: a ratio that compares a number to 100.
  • Equivalent Values: numbers written in different forms that have the same value.
  • Benchmark Percent: a common percent such as 25%, 50%, 75%, or 100%.

💡 Main Idea

Fractions, decimals, and percents are different ways to represent the same value. To decide whether two numbers are equivalent, convert them to the same form and compare them exactly.

📚 What You Should Already Know

Students should understand basic fraction concepts, equivalent fractions, place value, division, and that percent means “out of 100.”

🚀 What Comes Next

After students can identify equivalent fractions, decimals, and percents, they are ready to solve percent problems involving discounts, tax, tips, percent change, and probability.

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