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Find the two rational numbers between
(1)/(2) and
(1)/(3).

Find the two rational numbers between $\frac{1}{2}$ and $\frac{1}{3}$ .

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Full solution

Q. Find the two rational numbers between

\frac{1}{2}

and

\frac{1}{3}

.

Find Common Denominator: Find a common denominator for $\frac{1}{2}$ and $\frac{1}{3}$ to compare them easily. $\newline$ $\frac{1}{2} = \frac{3}{6}$ and $\frac{1}{3} = \frac{2}{6}$
Identify Numbers Between: Identify numbers between $\frac{3}{6}$ and $\frac{2}{6}$ . We can choose $\frac{5}{6}$ and $\frac{4}{6}$ as numbers between $\frac{3}{6}$ and $\frac{2}{6}$ , but these are not between $\frac{1}{2}$ and $\frac{1}{3}$ . We need to find smaller fractions.

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