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!