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What number should be subtracted from \(\frac{-2}{3}\) to get \(\frac{-1}{6}?\) 

1 Answer

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Best answer

Let the number = x 

Now, 

According to question,

\(\frac{-2}{3}-\) x \(=\frac{-1}{6}\)

\(\Rightarrow\) x = \(\frac{-2}{3}-(\frac{-1}{6})\)

\(\Rightarrow\) x \(=\frac{-4-(-1)}{6}\)

\(\Rightarrow\) x \(\frac{-4+1}{6}\)

\(\Rightarrow\) x \(=\frac{-3}{6}\) 

In lowest terms,

\(=\frac{-3÷3}{6÷3}= \frac{-1}{2}\)

Therefore, \(\frac{-1}{2}\) should be subtracted from \(\frac{-2}{3}\) so as to get \(\frac{-1}{6}\)

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