2.2 Fractions, Decimals, and Percentages

• Steps to convert a fraction to a percentage:

  1️⃣ Divide the numerator by the denominator

  2️⃣ Multiply the resulting decimal by 100

  3️⃣ Add the percent symbol
• A percentage is always a fraction out of 100.


  True
• What is $0.4$ expressed as a simplified fraction?


  $\frac{2}{5}$
• What do you do with the percent symbol when converting a percentage to a decimal?

  Remove it
• What is the percentage equivalent of $\frac{2}{5}$?


  $40\%$
• A fraction represents a part of a whole and is written as a numerator divided by a denominator
• A percentage expresses a quantity as a fraction of 100
• A fraction represents a part of a whole using a numerator and a denominator
• Match the fraction with its decimal equivalent:

  $\frac{3}{4}$ ↔️ $0.75$

  $\frac{2}{5}$ ↔️ $0.4$
• What is the first step to convert a fraction to a decimal?

  Divide the numerator by the denominator
• To convert a percentage to a decimal, you divide by 100.


  True
• To convert a percentage to a decimal, you divide by 100.

  True
• What is the base-10 notation used in decimals?

  Decimal point
• Match the conversion step with the example:

  Decimal to Percentage ↔️ $0.75 \times 100 =$$75\%$

  Percentage to Decimal ↔️ $\frac{75}{100} =$$0.75$
• What does a decimal use to represent a fraction?

  Base-10 notation
• To convert a decimal to a fraction, write the decimal over its place value and then simplify
• To convert a decimal to a percentage, you multiply by 100.


  True
• Steps to convert a fraction to a percentage

  1️⃣ Divide the numerator by the denominator

  2️⃣ Multiply the resulting decimal by 100

  3️⃣ Add the percent symbol