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Monday, October 24, 2011

Dividing Whole Numbers to a Fraction

I will explain the procedure the way I understand it. This took a few try before I was able to comprehend the concept...:))

Ex: 27 divided 3/5 = 27/1 divided 5/3, you need to flip the fraction and make the whole number a fraction also by putting one as the denominator, because 27/27 is 1. Then you need to write it as multiplication. 27/1 x 5/3 simplify if you can. With my example you can simplify the cris-cross multiplication 27 x 3 is 27 divided 3 equals 9 (how many 3 in 27) and 3 divided 3 equals 1 (how many 3 in 3), now 5 x 1 becomes 5 divided 5 equals 1 (how many in 1 in 5). You can't do much there so the fraction is 5/1.

Now let's recap, 27/1 x 5/3 = simplify the numerator 27 to 9 and simplify the denominator 3 to 1. 27/1 x 5/3 = 9/1 x 5/1 = 45/1 or 45.

Other way:

27/1 x 5/3 = 135/3...however, you still need to find the simplest form of 135/3. You need to find out how many 3 in 135, which is 45.

I guess the second version is shorter. And this is my VERSION. So when dividing a whole number with a fraction, first you need to make the whole number to a fraction then work from there. I think....:)) and why do we need this operation exactly?

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