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Two and one half, divided by six

 Jan 20, 2015

Best Answer 

 #1
avatar+808 
+10

$$2\frac{1}{2}/6$$

 

The general method 

 

Turn the mixed numerals into an improper fraction using this formula (can you see why it's true):

 

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

 

We get:

 

$$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$$

 

Thus the whole expression gets:

 

$$\frac{5}{2}/6=\frac{5}{2*6}=\frac{5}{12}$$

 

 

The efficient method

 

Realise that 2 1/2 =2.5

 

We get: 2.5/6 = 5/12

 Jan 20, 2015
 #1
avatar+808 
+10
Best Answer

$$2\frac{1}{2}/6$$

 

The general method 

 

Turn the mixed numerals into an improper fraction using this formula (can you see why it's true):

 

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

 

We get:

 

$$2\frac{1}{2}=\frac{2*2+1}{2}=\frac{5}{2}$$

 

Thus the whole expression gets:

 

$$\frac{5}{2}/6=\frac{5}{2*6}=\frac{5}{12}$$

 

 

The efficient method

 

Realise that 2 1/2 =2.5

 

We get: 2.5/6 = 5/12

Tetration Jan 20, 2015

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