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- Naveen

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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- Naveen

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- anonymous

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

- Naveen

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

- anonymous

no problem :)

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- Naveen

Are you in college? You seem very smart.

- anonymous

I am in university :)

- nubeer

that's cool.. :)

- anonymous

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

- 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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