1.2 Fractions, Decimals, and Percentages

• The fraction 3/4 represents 3 out of 4 equal parts.


  True
• Match the fraction with its decimal and percentage equivalents:

  1/2 ↔️ 0.5 and 50%

  3/4 ↔️ 0.75 and 75%
• Steps to convert a decimal to a fraction:

  1️⃣ Write the decimal as a fraction with a power of 10 as the denominator.

  2️⃣ Simplify the fraction if possible.
• Percentages are essentially fractions with a denominator of 100.


  True
• What is the denominator of a percentage when expressed as a fraction?

  100
• How do you convert a fraction to a decimal?

  Divide the numerator by the denominator
• What does the numerator in a fraction represent?

  The number of parts
• What is the percentage equivalent of the fraction 3/4?

  75%
• What is 0.25 converted to a simplified fraction?

  1/4
• Steps to convert a fraction to a decimal:

  1️⃣ Divide the numerator by the denominator
• To convert a fraction to a percentage, multiply the fraction by 100
• Steps to convert a fraction to a decimal:

  1️⃣ Divide the numerator by the denominator
• What does the numerator in a fraction represent?

  Number of parts
• How can fractions be compared and ordered?

  Common denominator
• Decimals represent fractions where the denominator is a power of 10.


  True
• 0.25 is equivalent to the fraction 1/4
• What is 45% as a decimal?

  0.45
• 50% can be written as the fraction 1/2
• 60% can be written as the simplified fraction 3/5.


  True
• Steps to compare fractions with different denominators

  1️⃣ Find a common denominator

  2️⃣ Create equivalent fractions

  3️⃣ Compare the numerators
• Decimals represent fractions where the denominator is a power of 10
• 50% is equivalent to the fraction 1/2.


  True
• Steps to convert a decimal to a fraction:

  1️⃣ Write the decimal as a fraction with a denominator of 10, 100, 1000, etc.

  2️⃣ Simplify the fraction
• Multiplying the fraction 1/2 by 100 results in 50
• The fraction 1/2 is equivalent to 50%.


  True
• To calculate 25% of 200 using a decimal, multiply 0.25 by 200
• 30% of 500 is 150.


  True
• A fraction represents a part-whole relationship, where the denominator represents the total number of equal parts
• Fractions can be converted into both decimals and percentages
• What does 0.75 represent as a fraction?

  3/4
• What do percentages represent parts out of?

  100
• 45% is equivalent to the fraction 9/20
• What is 45% converted to a decimal?

  0.45
• To convert a percentage to a decimal, you divide by 100
• What is the decimal equivalent of the fraction 1/2?

  0.5
• The tenths place in a decimal represents 10⁻¹.


  True
• Match the percentage with its equivalent fraction and decimal:

  50% ↔️ 1/2 and 0.50

  75% ↔️ 3/4 and 0.75

  20% ↔️ 1/5 and 0.20
• To convert a fraction to a percentage, multiply the fraction by 100
• Percentages are fractions with a denominator of 100
• Calculating percentages of amounts involves converting the percentage to a decimal