LBR Summative Blog Post

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1. What does it mean to divide fractions?

Dividing a fraction by another fraction is the same thing as multiplying the fraction in the numerator by the reciprocal of the fraction in the denominator.

2. Why does multiplying by the reciprocal work when dividing fractions?

A fraction multiplied by it's reciprocal is always one. This can be proven by this example here:
Through this example, we know that a fraction multiplied by it's reciprocal will always be one. If you had the problem 4/5 divided by 1/2, it would be the same as multiplying 4/5 by 2/1 (1/2's reciprocal) to get 8/5, which simplifies to 1 3/5. Now because of this rule, multiplying by the reciprocal works when dividing fractions. An example of this is:
 Another example would be:

Comments

  1. AnonymousFebruary 15, 2016 at 6:29 PM

    I think you're explanation for problem 2 was really clear. The examples were good throughout the post, too. I think one thing you can work on is problem 1. It was a little unclear, did you mean multiplying the first fraction by the reciprocal of the second fraction? Good Job!

    ReplyDelete

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