1.2.1 Converting between fractions, decimals, and percentage

• What is a fraction?

  A way to show a part of a whole
• What are the two parts of a fraction?

  • Numerator: Top number showing parts you have
  • Denominator: Bottom number showing equal parts of the whole
• Why are decimals useful?

  They express measurements that aren't whole numbers
• What does the numerator in a fraction represent?

  How many parts you have
• What are the parts of a decimal?

  • Whole Number: 3
  • Decimal Point: .
  • Decimal Fraction: 25
• What does the fraction 3/4 mean in terms of parts of a whole?

  You have 3 out of 4 equal parts
• How can you express 85% as a fraction?

  As $\frac{85}{100}$
• What is a decimal?

  A number that includes a decimal point
• Why is it important to place the decimal point correctly in the quotient?

  It ensures the accuracy of the decimal value
• What is the first step to convert a fraction to a decimal?

  Write down the fraction
• How is converting fractions to percentages related to converting decimals to fractions?

  • Converting fractions to percentages is the reverse process
  • Both involve understanding decimal values
• In the fraction 3/4, what does the numerator represent?

  It represents 3 parts out of 4
• How can you convert a fraction to a decimal using a calculator?

  Input the numerator and denominator to divide
• If you have the fraction $\frac{1}{4}$, what is the decimal equivalent?


  $0.25$
• What are the parts of a percentage?

  • Total: 100%
  • Fraction: Portion of 100%
• Why do we simplify the fraction after writing the percentage over 100?

  To express it in its lowest terms
• What is the result of multiplying $0.25$ by $100$?


  25
• How do we represent percentages symbolically?

  Using the % symbol
• If you scored 85 out of 100 on a test, what percentage is that?

  85%
• What does the denominator in a fraction indicate?

  How many equal parts the whole is divided into
• What should you do with the % symbol when converting to a decimal?

  Remove the % symbol
• How do you convert a fraction to a decimal?

  Divide the numerator by the denominator
• What does a decimal point indicate?

  It shows a part of a whole number
• What are the steps to convert a fraction to a decimal?

  1. Write down the fraction
  2. Divide the numerator by the denominator
  3. Place the decimal point correctly in the quotient
• What symbol is added after converting a decimal to a percentage?

  % sign
• How does the decimal point function in a decimal number?

  It separates the whole number from the fraction
• What is a percentage?

  A fraction expressed out of 100
• What is the first step to convert a percentage to a decimal?

  Divide by 100
• In what contexts might you use decimals?

  To express height or weight measurements
• How do you convert 75% to a decimal step by step?

  • Step 1: 75 ÷ 100 = 0.75
  • Step 2: Place the decimal point: 0.75
  • Step 3: Remove the % symbol: 0.75
• What is the result of dividing 3 by 4?

  0.75
• What is the process to convert a percentage to a fraction?

  1. Write the percentage over 100
  2. Simplify the fraction to its lowest terms
• What happens to the decimal point when multiplying by 100?

  It moves two places to the right
• What are the steps to convert a decimal to a percentage?

  1. Multiply the decimal by 100
  2. Add the % sign to the result
• What is the numerator in the fraction 3/4?

  3
• What is the denominator in the fraction 3/4?

  4
• What does it mean to express a fraction in its lowest terms?

  It means no common factors remain
• What are the steps to convert a fraction to a percentage?

  1. Convert to a decimal: Divide numerator by denominator
  2. Multiply by 100: Take decimal value and multiply
  3. Add the percentage symbol: Write result followed by %
• What is the percentage equivalent of the decimal 0.45?

  45%
• In the fraction 3/4, what does the denominator represent?

  It represents the total of 4 equal parts