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Mixed Numbers

Mixed Numbers . Converting mixed numbers to improper fractions is MAD 1) M ultiply the denominator by the whole number 2) A dd that product to the numerator 3) D enominator stays the same . Adding & Subtracting Mixed Numbers . Same Denominator 1) Add the numerators (top #)

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Mixed Numbers

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  1. Mixed Numbers

  2. Converting mixed numbers to improper fractions is MAD • 1) Multiply the denominator by the whole number • 2) Add that product to the numerator • 3) Denominator stays the same

  3. Adding & Subtracting Mixed Numbers • Same Denominator • 1) Add the numerators (top #) • 2) Keep the denominator (bottom #)the same • Example:

  4. Different Denominators • 1) Find a common denominator • The easiest way to do this is to find the product of the two denominators! • Example: 2 + 2 • 3 6 6 x 3 = 18 • 2) Convert each fraction • The denominator 3 has to be multiplied by 6 to get 18, so we multiply both top and bottom by 6 to get an equivalent faction. • 2 X 6 = 12 2 x 3 = 6 • 3 X 6 = 18 6 x 3 = 18 The denominator 6 has to be multiplied by 3 to get 18, so we multiply both top and bottom by 3 to get an equivalent fraction.

  5. + = • 3) Add the numerators & keep the denominators the same • 12 6 18 • 18 18 18

  6. Once you have found a common denominator and converted each fraction…… • 1) Add or subtract the numerators. • 2) Keep the denominator the same. • 3) Reduce and/or covert back to a mixed number. • 12 + 6 18 • 18 18 18 = = 1

  7. Multiplication • 1) Convert mixed numbers to an improper fraction. • 2) Multiply straight across. • 3) Write the product in simplest form. • Let’s Practice!

  8. Division • 1) Convert mixed numbers to an improper fraction. • 2) Change the division sign to multiplication. • 3) Find the reciprocal of the second number. • 4) Multiply straight across. • 5) Write the product in simplest form. • STAY, CHANGE, FLIP!

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