1.2 Fractions, Decimals, and Percentages

• The denominator of a fraction tells us how many equal parts the whole is divided into
• Give an example of a proper fraction.

  `3/5`
• What are equivalent fractions?

  Fractions with the same value
• Match the equivalent fractions:

  `1/2` ↔️ `2/4`

  `3/5` ↔️ `6/10`

  `7/8` ↔️ `14/16`
• Give an example of a proper fraction.

  `3/5`
• What do you need to find when adding or subtracting fractions with different denominators?

  A common denominator
• The fractions 1/2 and 2/4 are equivalent.


  True
• What is the first step to add or subtract fractions with different denominators?

  Find the least common multiple (LCM)
• To multiply fractions, multiply the numerators together and then the denominators
• Steps to divide fractions

  1️⃣ Invert the second fraction

  2️⃣ Multiply the first fraction by the inverted second fraction
• What is 0.75 expressed as a percentage?

  75%
• An improper fraction has a numerator that is greater than or equal to its denominator.

  True
• Understanding equivalent fractions helps in adding and subtracting fractions by finding a common denominator.


  True
• What is the second method to identify equivalent fractions?

  Cross-multiplication
• What is the LCM of the denominators in the example `1/2 + 1/3`?

  6
• To divide fractions, you must invert the second fraction.


  True
• To convert a decimal to a percentage, multiply by 100
• The denominator of the fraction equivalent to `0.75` is 100
• The numerator of a fraction tells us how many parts
• To convert a fraction to a decimal, divide the numerator by the denominator.
• To add fractions with different denominators, find the LCM of the denominators.
• To convert a percentage to a fraction, divide the percentage value by 100.
• What is the numerator of a fraction?

  The number of parts
• How can you identify equivalent fractions?

  Multiply or divide both parts
• Steps to add fractions with different denominators

  1️⃣ Find the LCM of the denominators

  2️⃣ Convert each fraction to the LCM

  3️⃣ Add the numerators, keep the denominator
• To add or subtract fractions with different denominators, you must find a common denominator first.


  True
• Steps for adding or subtracting fractions with different denominators

  1️⃣ Find the least common multiple (LCM) of the denominators

  2️⃣ Convert each fraction to have the LCM as the denominator

  3️⃣ Add or subtract the numerators, keeping the common denominator
• To multiply fractions, multiply the numerators together and then multiply the denominators
• When dividing fractions, you invert the second fraction and then multiply
• What do you multiply a decimal by to convert it to a percentage?

  100
• Match the decimal with its fraction equivalent:

  0.75 ↔️ 75/100

  0.125 ↔️ 125/1000

  0.5 ↔️ 5/10
• Every percentage is a part of 100, making calculations easier.


  True
• To convert a fraction to a percentage, divide the numerator by the denominator
• To convert a percentage to a fraction, you write the percentage over 100 and simplify if possible.


  True
• Steps to convert a fraction to a percentage:

  1️⃣ Divide the numerator by the denominator to get the decimal equivalent

  2️⃣ Multiply the decimal by 100 to get the percentage
• Steps to calculate the percentage of an amount:

  1️⃣ Identify the part and the whole

  2️⃣ Use the formula: Percentage = (Part / Whole) x 100
• If an item costs £50 and increases by 20%, the new amount is £60.


  True
• The numerator of a fraction tells us how many parts we have.


  True
• What is a fraction defined as?

  Part of a whole
• What are the two types of fractions based on their numerator and denominator?

  Proper and improper