How To

How to Divide Fractions

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By Gershonah
User-Submitted Article
(5 Ratings)

Dividing whole numbers presents its own problems. No wonder being asked to divide fractions can be frightening, however this is a math concept that will present itself well into algebra. Learning this simple method will make dividing fractions a breeze.

Difficulty: Moderately Easy
Instructions

Things You'll Need:

  • Paper
  • pencil(all math should be done in pencil, even on a college level.)
  1. Step 1

    To make this concept simplistic, first let's review parts of a fraction. In 3/4, the 3 is in the numerator of the fraction and the 4 is in the denominator. Use the (d) in denominator as a clue that the number located in the bottom of the fraction will always be in the
    (d)enominator.

    Now given the problem----------3/4 divided by 2/5, the first step is to find the reciprocal of the second fraction (You find it by flipping the fraction. 2/5 becomes 5/2. Next, rewrite the new fraction------instead of 3/4 divided by 2/5 the new problem becomes 3/4 divided by 5/2.

  2. Step 2

    *** We must now change the new problem to a multiplication problem.
    Our new problem becomes----3/4 X 5/2
    Multiply the two numerators together----3 and 5 which equals 15
    Multiply the two denominators together--4 and 2 which equals 8
    Form an answer-- the new numerator is 15 and the new denominator is 8
    Thus we have an answer or (product) of 15/8

  3. Step 3

    Yes, our answer(product) can be 15/8, This type of fraction is called an improper fraction.
    Look at this new problem for a quick review
    3/8 divided by 4/8, becomes
    3/8 divided by 8/4, next create a multiplication problem
    3/8 X 8/4
    next, multiply the numerators 3 and 8=24
    then, multiply the denominators 8 and 4=32
    Thus, the answer becomes 24/32

Tips & Warnings
  • 24/32 is considered a proper fraction.
  • Don't worry about your results being an improper fraction like in the first example (15/8). Improper fractions will be discussed in another lesson.
  • Never, ever, ever forget to flip your second fraction. You will get the wrong answer if you fail to do so.

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