Operations with Fractions
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Slide 1 - Operations with Fractions
- Multiplying | Dividing | Adding | Subtracting | [Subtracting with Borrowing]
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.
Slide 3 - Whole Numbers to Fractions
- A whole number can be written as a fraction by writing a 1 in the denominator
Slide 5 - Multiplying Fractions
- When multiplying fractions, use improper fraction form
- Multiply across and simplify
Slide 7 - Dividing Fractions
- When dividing fractions, use improper fraction form
- Flip the second fraction, multiply across and simplify
Slide 9 - Cross Simplification
- Use when multiplying
- Use when dividing AFTER flipping the second fraction
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!
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
Slide 14 - Subtracting Fractions with Borrowing
- What if the second numerator is larger than the first numerator?
- Borrow from the whole number!