Operations with Fractions

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Operations with Fractions

Created 3 years ago

Duration 0:12:17
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  1. Operations with Fractions

    Slide 1 - Operations with Fractions

    • Multiplying | Dividing | Adding | Subtracting | [Subtracting with Borrowing]
  2. Review: Mixed Numbers & Improper Fractions

    Slide 2 - Review: Mixed Numbers & Improper Fractions

    • A mixed number contains a whole number and a fraction, like
    • An improper fraction has a numerator larger than the denominator, like
    • To convert from mixed number to improper form, multiply the whole number by the denominator and add that number to the numerator.
    • To convert from improper form to mixed number, divide the numerator by the denominator. The remainder becomes the new numerator and the quotient becomes the whole number.
  3. Whole Numbers to Fractions

    Slide 3 - Whole Numbers to Fractions

    • A whole number can be written as a fraction by writing a 1 in the denominator
  4. Multiplying Fractions

    Slide 5 - Multiplying Fractions

    • When multiplying fractions, use improper fraction form
    • Multiply across and simplify
  5. Dividing Fractions

    Slide 7 - Dividing Fractions

    • When dividing fractions, use improper fraction form
    • Flip the second fraction, multiply across and simplify
  6. Cross Simplification

    Slide 9 - Cross Simplification

    • Use when multiplying
    • Use when dividing AFTER flipping the second fraction
  7. Adding Fractions

    Slide 11 - Adding Fractions

    • When adding fractions, use mixed number or improper fraction form
    • Find a common denominator and “scale”.
    • Add the whole numbers then add the numerators.
    • DO NOT add the denominators, these are already common!
  8. Subtracting Fractions

    Slide 12 - Subtracting Fractions

    • When subtracting fractions, use mixed number or improper fraction form
    • Find a common denominator and “scale”
    • Subtract the whole numbers
    • Subtract the numerators and simplify
  9. Subtracting Fractions with Borrowing

    Slide 14 - Subtracting Fractions with Borrowing

    • What if the second numerator is larger than the first numerator?
    • Borrow from the whole number!