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what is 9-3 and 1/3

Guest Jan 15, 2015

Best Answer 

 #3
avatar+808 
+5

Yeah, It's more than one way to skin a cat - and I'd prefer your solving strategy over mine :)

Tetration  Jan 16, 2015
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3+0 Answers

 #1
avatar+808 
+5

$$9-3\frac{1}{3}$$

 

Transform the mixed numbers into improper fraction. Use this formula (can you see why it's true):

 

$$a\frac{b}{c}=\frac{ac + b}{c}$$

 

We get:

 

$$9 - \frac{3*3+1}{3}=$$

$$9 - \frac{10}{3}=$$

 

Transform the integer into a fraction with a common denominator (bottom), and calculate the answer:

 

$$9 - \frac{10}{3}=$$

$$\frac{27}{3}- \frac{10}{3}= \frac{17}{3}$$

Tetration  Jan 15, 2015
 #2
avatar+92215 
+5

Really nice presentation Tetration.   

 

I would do it slightly differently.  There is no need to change the mixed numeral into an improper fraction.

I have spread it out so that it is easy to follow but most of these steps are not normally written.

This really is a good method to use.    

 

$$\\9-3\frac{1}{3}\\\\
\mbox{you are taking away more than 3 so it must be }-3-\frac{1}{3}\\\\
=9-3-\frac{1}{3}\\\\
=6-\frac{1}{3}\\\\
$Now 6 minus a bit must equal 5 and a bit, so what do we do next$\\
$I'll change the 6 into 5+1$\\\\
=5+1-\frac{1}{3}\\\\
=5+\frac{3}{3}-\frac{1}{3}\\\\
=5+\frac{2}{3}\\\\
=5\frac{2}{3}$$

Melody  Jan 16, 2015
 #3
avatar+808 
+5
Best Answer

Yeah, It's more than one way to skin a cat - and I'd prefer your solving strategy over mine :)

Tetration  Jan 16, 2015

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