1.2.1 Converting between fractions, decimal and percentages

• What do fractions represent?

  A part of a whole
• What does the decimal 0.75 represent?

  Seventy-five hundredths
• In the fraction 1/2, what does the denominator represent?

  Total number of parts
• What are the two main components of a fraction?

  Numerator and denominator
• In the fraction 1/2, what does the numerator represent?

  Number of parts you have
• What does a percentage represent?

  A portion out of 100
• What is the function of the decimal point in a decimal number?

  Separates whole number from fraction
• What is the base used in decimals?

  Base 10
• How is each digit's worth determined in a decimal?

  Based on its position
• What does 25% mean?

  25 out of 100 parts
• What does it mean when we say the whole is 100%?

  It represents everything
• What does the % symbol mean?

  Means "out of 100"
• What is the first step to convert a fraction to a decimal?

  Divide the numerator by the denominator
• How would you convert the fraction $\frac{3}{4}$ to a decimal?


  Divide 3 by 4
• What does dividing the numerator by the denominator yield?

  A decimal value
• What is the result of the division $3 \div 4$?


  $0.75$
• What are the steps to convert a fraction to a decimal?

  1. Identify the numerator and denominator
  2. Divide the numerator by the denominator
  3. Obtain the decimal result
• What is the process of converting $\frac{3}{4}$ to a decimal?


  • Step 1: Numerator = 3
  • Step 2: Denominator = 4
  • Step 3: Perform division: $3 \div 4$
  • Step 4: Result = $0.75$
• Why do we use powers of 10 as denominators when converting decimals to fractions?

  To represent the decimal accurately
• How do you simplify the fraction after converting a decimal?

  By dividing the numerator and denominator by their GCD
• If you convert 0.75 to a fraction, what would be the denominator?

  100
• What are the steps to convert decimals to fractions?

  1. Write the decimal as a numerator.
  2. Use 10, 100, 1000, etc. as the denominator.
  3. Simplify the fraction if possible.
• What does the denominator represent when converting a decimal like 0.45?

  It represents the place value of the decimal
• What is the fraction equivalent of 0.45?

  9/20
• What is the simplified form of the fraction 45/100?

  9/20
• How do you simplify a fraction after converting a percentage?

  Reduce it to its lowest terms
• What are the steps to convert a percentage to a fraction?

  1. Divide the percentage value by 100.
  2. Simplify the fraction to its lowest terms.
• What is the value of the numerator when converting 0.45 to a fraction?

  45
• What do you do after dividing the numerator by the denominator in fraction conversion?

  Multiply the result by 100
• If you convert the fraction $\frac{1}{4}$ to a percentage, what is the final step?


  Add the % symbol
• What are the steps to convert a fraction to a percentage?

  1. Divide the numerator by the denominator
  2. Multiply the result by 100
  3. Add the % symbol
• Why do you multiply a decimal by 100 when converting to a percentage?

  To express the decimal as a part of 100
• If you have a decimal of 0.75, what is the first calculation to convert it to a percentage?

  0.75 × 100
• What is the final result when converting 0.25 to a percentage?

  25%
• What does the % symbol represent in a percentage?

  A part of 100
• What is the fraction form of 75% before simplification?

  $\frac{75}{100}$
• What are the steps to convert a decimal to a percentage?

  1. Multiply the decimal by 100
  2. Add the % symbol to the result
• What is the second step to convert a percentage to a decimal?

  Remove the % symbol
• What is the first step to convert a percentage to a decimal?

  Divide the percentage by 100
• What is the percentage equivalent of the decimal 0.25?


  25%