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## anonymous 3 years ago There's a question asking me how many 2/3 fit into 6. I don't even know where to begin. Can someone help?

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1. anonymous

$\frac{ 2 }{ 3 } \times x=6$ $x=\frac{ 6\times3 }{ 2 }=\frac{ 18 }{2 }=9$

2. anonymous

Wow. I never thought of doing that. Thanks. This is reallyhelpful.

3. anonymous

no problem :)

4. anonymous

Are you in college? You seem very smart.

5. anonymous

I am in university :)

6. anonymous

that's cool.. :)

7. anonymous

Why are you allowed to move the x to the other side? How come there's a 2 on the bottom now?

8. anonymous

@cthomasknight, the easy way to remember what to do is to keep in mind that 'dividing by a fraction is the same as multiplying by the inverse of the fraction'. That's what Gretacig does in her response: 2/3 * x = 6 but you need an equation with a shape like x = .... This can only be achieved by dividing left and right by 2/3. Now apply the rule above, about multiplying by the inverse of the fraction (so dividing by 2/3 is multiplying by 3/2). 2/3 * 2/3 * x = 3/2 * 6, where 3/2 * 2/3 = 1, leading to 1*x = 2/3 * 6 ==> x = 18

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