How To Divide Fractions

  • December 7, 2009
  • 3,802 Views
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Math can be scary, but don’t give up. Follow these simple steps, and soon you’ll be dividing fractions like a pro.

You Will Need

  • A pencil
  • A sheet of paper
How To Divide Fractions: Write the problem

Step 1: Write the problem

Write out the first fraction, a divided-by sign, and the second fraction. This will help you visualize the steps you need to take to divide the fractions.

How To Divide Fractions: Invert the second fraction

Step 2: Invert the second fraction

Invert the second fraction by flipping it so that the bottom number is at the top. Rewrite the problem with the first fraction multiplied by the second, now inverted, fraction.

For example, rewrite one-half divided by three-fourths as one-half multiplied by four-thirds.

How To Divide Fractions: Multiply the top two numbers

Step 3: Multiply the top two numbers

Multiply the top two numbers in the fractions to get the top number in your answer, which is known as the numerator.

How To Divide Fractions: Multiply the bottom two numbers

Step 4: Multiply the bottom two numbers

Multiple the bottom two numbers in the fractions to get the bottom number in the answer, which is known as the denominator.

The result in the example is four-sixths.

How To Divide Fractions: Reduce the final answer

Step 5: Reduce the final answer

Reduce the answer by dividing both the numerator and the denominator by the greatest common factor, which is the highest number by which both can be divided.

In the example, divide the numerator and denominator by two, the greatest common factor. The final answer is two-thirds.

How To Divide Fractions: Write your answer

Step 6: Write your answer

Add an equal sign and your final, reduced answer at the end of the original problem. Keep practicing, and soon you may be solving tough math puzzles without even needing a pencil and paper.

The word fraction comes from the Latin frangere, which means, “to break.”

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Comments (2)

teachingwithrobbie

This is the biggest problem with teaching mathematics especially fractions. In this video you are only touching on procedure which helps no one in understanding the how and why. To explain fractions you need more than 2 mins and you need to give more conceptual understanding. For example, what does it mean to divide 1/2 by 3/4. The concept is not that you ";copy dot flip"; as you have shown. but rather what does it mean to do so. You should take this off the web you are only doing a disservice to students learning how to divide fractions.

about 1 year ago by teachingwithrobbie

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bulby13

I have a shortcut expamle 3/8 divide 1/6 multply the numerator by the demominator so 3 times 6 equals 18 that will be the answer to the numerator next multply the demominator by the numerator so 8 times 6 equals 48 so 3/8 divide 1/6 equals 18/48 reduce if you can 18/48 reduce to 3/8.

about 1 year ago by bulby13

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