Division of Fractions and Mixed Numbers

day 73.1

In this lesson, you will expand your skills in fraction division. You will learn that dividing by a number and multiplying by the reciprocal of the number give the same result. Make sure you always rewrite the division problem as a multiplication problem before you try to find common factors or cancel out factors.

Look at the following problems and simplify:

day 73.2

Both are equal to 2.

What is the relationship between 5 and day 73.3?   Let’s multiply them and find out!

day 73.4

Now do you see what the rule “Keep, Change, Flip means?

When you divide fractions, you are multiplying by the reciprocal to get your answer.

  1. Keep the first number (dividend)
  2. Change division sign to multiplication
  3. Flip, or invert the fraction

When you divide mixed numbers, follow these steps:

  1. Change the mixed number to an improper fraction
  2. Keep the first number
  3. Change division sign to multiplication
  4. Flip (multiply by the reciprocal)
  5. Simplify

 

(source)