What is unreducing fractions, Mathematics

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Q, Did you know that you can unreduce a fraction?

Ans.

Remember, you reduce a fraction by dividing the numerator and denominator by the same numbers. Here we divide both 40 and 50 by 10:

260_What is Unreducing Fractions.gif

But you can also go the other way!

2492_What is Unreducing Fractions1.gif

Example. Suppose you have the fraction:

9/8

and you want its denominator to be 32. Well, if you multiply 8 by 4 you get 32. So you can just multiply the numerator and denominator by 4:

375_What is Unreducing Fractions2.gif

Another example: Suppose you are adding fractions:

592_What is Unreducing Fractions4.png

 

You need to make the denominators match before you can add them, If you unreduced the second fraction by multiplying the numerator and denominator by 6, you get :

An example involving whole numbers: Suppose you want to change the number 7 into a fraction with denominator 5. What do you do? Remember, you can change a whole number into a fraction like this:

7 = 7 / 1

And then you can multiply the numerator and denominator by 5, like this:

7 = 7/1 = 35/5

 

 

 

 

 


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