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(a+a)/(a*a)=1/3. what does a equal?

 Sep 20, 2014

Best Answer 

 #2
avatar+3454 
+11

Good job Dragon, but you didn't explain how to solve it. I have a feeling you just typed that into a calculator.

Here's how you solve it:

 

$$\frac{(a +a)}{(a\times a)}=\frac{1}{3}$$

 

Simplify:

 

$$\frac{2a}{a^2} = \frac{1}{3}$$

 

Divide the top and bottom by a:

 

$$\frac{2a \div a}{a^2 \div a} = \frac{1}{3}$$

 

$$\frac{2}{a} = \frac{1}{3}$$

 

Multiply both sides by a:

 

$$\frac{2}{a}\times a = \frac{1}{3}\times a$$

 

$$2 = \frac{1}{3} \times a$$

 

Multiply both sides by 3:

 

$$2\times3=1\times a$$

 

$$6 = a$$

 

So:

 

$$\mathbf{a = 6}$$

 Sep 20, 2014
 #1
avatar+8262 
+6

$$\frac{(a+a)}{(a*a)}=1/3\Rightarrow\frac{(6+6)}{(6*6)}=1/3\\\\=\frac{12}{36}=\frac{1}{3}\Rightarrow\frac{1}{3}=\frac{1}{3}\\\\\mbox{So,\;}a=6.$$

I think that NinjaDevo will explain it, or I may explain it in 5 minutes.    ヅ    ٩(●̮̮̃•̃)۶    (ړײ)    ♫♬♪     q(-̮̮̃-̃)۶     ¯\_(ツ)_/¯

 Sep 20, 2014
 #2
avatar+3454 
+11
Best Answer

Good job Dragon, but you didn't explain how to solve it. I have a feeling you just typed that into a calculator.

Here's how you solve it:

 

$$\frac{(a +a)}{(a\times a)}=\frac{1}{3}$$

 

Simplify:

 

$$\frac{2a}{a^2} = \frac{1}{3}$$

 

Divide the top and bottom by a:

 

$$\frac{2a \div a}{a^2 \div a} = \frac{1}{3}$$

 

$$\frac{2}{a} = \frac{1}{3}$$

 

Multiply both sides by a:

 

$$\frac{2}{a}\times a = \frac{1}{3}\times a$$

 

$$2 = \frac{1}{3} \times a$$

 

Multiply both sides by 3:

 

$$2\times3=1\times a$$

 

$$6 = a$$

 

So:

 

$$\mathbf{a = 6}$$

NinjaDevo Sep 20, 2014
 #3
avatar+8262 
0

Nah... I didn't. Just easy. Did this in 5th, in the beginning of 5th grade. But thanks. NinjaDevo. You are the best personel here.

 Sep 20, 2014

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