2.2 Fractions, Decimals, and Percentages

• What does the numerator of a fraction indicate?

  How many parts you have
• Match the fraction type with its definition:

  Proper ↔️ Numerator < denominator

  Improper ↔️ Numerator ≥ denominator

  Mixed ↔️ Whole number + proper fraction
• Numbers to the right of the decimal point are called decimal places.


  True
• What is the numerator of a fraction called?

  How many parts you have
• The decimal 3.14 consists of 3 whole units plus 14 hundredths.
• To convert a fraction to a percentage, multiply it by 100%.
• To convert a fraction to a percentage, multiply it by 100%.
• A percentage is a fraction of 100.


  True
• What is 25% of 80?

  20
• The denominator of a fraction indicates the total number of equal parts
• An improper fraction can be expressed as a mixed fraction.
• Match the decimal place with its fraction value:

  Tenths ↔️ 1/10

  Hundredths ↔️ 1/100

  Thousandths ↔️ 1/1000
• A proper fraction has a numerator greater than the denominator.

  False
• How do you convert a decimal to a percentage?

  Move the decimal point
• What is 25% of 80?

  20
• A percentage is denoted by the % symbol.

  True
• What is 25% of 80?

  20
• Match the fraction with its decimal and percentage equivalents:

  1/4 ↔️ 0.25, 25%

  1/2 ↔️ 0.5, 50%

  3/4 ↔️ 0.75, 75%
• To convert a mixed fraction to a decimal, convert the whole number and proper fraction separately.
• To convert 1 2/5 to a decimal, first convert the whole number 1 to 1.0.
• When converting 5/3 to a decimal, the result is a repeating decimal
• When converting 3/4 to a decimal, the result is 0.75
• The decimal 3.14 consists of 3 whole units and 14 hundredths


  True
• Converting a fraction to a percentage involves multiplying by 100%


  True
• Steps to calculate 25% of 80

  1️⃣ Convert 25% to a decimal

  2️⃣ Multiply the decimal by 80
• Match the decimal with its equivalent percentage

  0.45 ↔️ 45%

  0.75 ↔️ 75%
• To convert 75% to a decimal, you divide it by 100
• To convert a percentage to a fraction, you divide it by 100
• To convert 25% to a fraction, it becomes 1/4
• Steps to calculate a percentage of an amount

  1️⃣ Convert the percentage to a decimal

  2️⃣ Multiply the decimal by the original amount
• Match the type of fraction with its definition:

  Proper Fraction ↔️ Numerator < denominator

  Improper Fraction ↔️ Numerator >= denominator

  Mixed Fraction ↔️ Whole number + proper fraction
• Decimal places represent fractions with a power of 10 as the denominator.


  True
• What is 1/4 as a percentage?

  25%
• To convert a decimal to a percentage, you multiply by 100 and add the % symbol.

  True
• To convert a decimal to a percentage, you must multiply the decimal by 100
• What is 0.45 converted to a percentage?

  45%
• What is 3/4 converted to a percentage?

  75%
• What is 25% of 80?

  20
• If the original price was £50 and the new price is £60, the percentage increase is 20%
• To round a decimal, you look at the digit to the right of the place value you want to round to.

  True