divide

• Keep switch and flip


  A rule to remember when dividing fractions
• Dividing mixed numbers

  1. Change to improper fractions

  2. Keep switch and flip

  3. Multiply straight across

  4. Change back to mixed number
• Improper fraction


  A fraction with a numerator larger than the denominator
• Changing 3 and 3/4 to improper fraction

  4 x 3 = 12, 12 + 3 = 15, denominator stays 4, so 15/4
• Changing 1 and 1/2 to improper fraction

  2 x 1 = 2, 2 + 1 = 3, denominator stays 2, so 3/2
• Applying "keep switch and flip"

  Keep 15/4, switch division to multiplication, flip 3/2 to 2/3
• Changing 30/12 to mixed number

  30 / 12 = 2 with remainder 6, so 2 and 6/12
• Simplifying 6/12

  Divide both 6 and 12 by 6, so 1/2
• Changing 10 and 1/3 to improper fraction

  3 x 10 = 30, 30 + 1 = 31, denominator stays 3, so 31/3
• Changing 3 and 4/5 to improper fraction

  5 x 3 = 15, 15 + 4 = 19, denominator stays 5, so 19/5
• Applying "keep switch and flip"

  Keep 31/3, switch division to multiplication, flip 19/5 to 5/19
• Changing 155/57 to mixed number

  155 / 57 = 2 with remainder 41, so 2 and 41/57