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2/3 - 1/4= ?????????

 Jun 10, 2014

Best Answer 

 #1
avatar+3454 
+5

In order for us to subtract these, they need to have the same denominators, then we can subtract like we usually do.

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$                       

Now I can multiply both the top and bottom of the first fraction by 4, and the top and bottom of the second fraction by 3. We know this works because 8/12 is the same thing as 2/3 and 3/12 is the same thing as 1/4 

$${\frac{{\mathtt{8}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}}{{\mathtt{12}}}}$$                   

 

$${\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$           

Now I just subtracted to tops from each other. This can't be reduced, so 5/12 is our answer!

 

If this didn't make any sense at all, let me know and I can try to explain it differently!

 Jun 10, 2014
 #1
avatar+3454 
+5
Best Answer

In order for us to subtract these, they need to have the same denominators, then we can subtract like we usually do.

$${\frac{{\mathtt{2}}}{{\mathtt{3}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{4}}}}$$                       

Now I can multiply both the top and bottom of the first fraction by 4, and the top and bottom of the second fraction by 3. We know this works because 8/12 is the same thing as 2/3 and 3/12 is the same thing as 1/4 

$${\frac{{\mathtt{8}}}{{\mathtt{12}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{3}}}{{\mathtt{12}}}}$$                   

 

$${\frac{{\mathtt{5}}}{{\mathtt{12}}}}$$           

Now I just subtracted to tops from each other. This can't be reduced, so 5/12 is our answer!

 

If this didn't make any sense at all, let me know and I can try to explain it differently!

NinjaDevo Jun 10, 2014

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