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N x 6/9 = 3/12

what is N?

User Lenka
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1 Answer

6 votes
1



Simplify n\times \frac{6}{9}n×​9​​6​​ to \frac{2n}{3}​3​​2n​​

\frac{2n}{3}=\frac{3}{12}​3​​2n​​=​12​​3​​


2



Simplify \frac{3}{12}​12​​3​​ to \frac{1}{4}​4​​1​​

\frac{2n}{3}=\frac{1}{4}​3​​2n​​=​4​​1​​


3



Multiply both sides by 33

2n=\frac{1}{4}\times 32n=​4​​1​​×3


4



Simplify \frac{1}{4}\times 3​4​​1​​×3 to \frac{3}{4}​4​​3​​

2n=\frac{3}{4}2n=​4​​3​​


5



Divide both sides by 22

n=\frac{\frac{3}{4}}{2}n=​2​​​4​​3​​​​


6



Simplify \frac{\frac{3}{4}}{2}​2​​​4​​3​​​​ to \frac{3}{4\times 2}​4×2​​3​​

n=\frac{3}{4\times 2}n=​4×2​​3​​


7



Simplify 4\times 24×2 to 88

n=\frac{3}{8}n=​8​​3​​


User Isolated
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