Question

find the three rational number between
$\frac{1}{3} and - \frac{1}{4}$
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Answer 1

Answer:

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Answer 2

Answer:

Three rational numbers between $\frac{1}{3}$ and $\frac{-1}{4}$ are $\frac{-1}{12}$, 0 and $\frac{1}{12}$ .

Step-by-step explanation:

Let us first make the denominators equal:

• LCM of 3 and 4 = 12.

• $\frac{1}{3} *\frac{4}{4} = \frac{4}{12}$.

• $\frac{-1}{4} * \frac{3}{3} = \frac{-3}{12}$.

Now, we can find three rational numbers between them.

• $\frac{-3}{12} > \frac{-2}{12} > \frac{-1}{12} >\frac{0}{12} > \frac{1}{12} >\frac{2}{12}>\frac{3}{12}>\frac{4}{12}$.

Thus, $\frac{-1}{12}$, 0 and $\frac{1}{12}$ are three rational numbers between $\frac{1}{3}$ and $\frac{-1}{4}$.