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

Find the two rational numbers between 12 \frac{1}{2} and 13 \frac{1}{3} .

Full solution

Q. Find the two rational numbers between 12 \frac{1}{2} and 13 \frac{1}{3} .
  1. Find Common Denominator: Find a common denominator for 12\frac{1}{2} and 13\frac{1}{3} to compare them easily.\newline12=36\frac{1}{2} = \frac{3}{6} and 13=26\frac{1}{3} = \frac{2}{6}
  2. Identify Numbers Between: Identify numbers between 36\frac{3}{6} and 26\frac{2}{6}. We can choose 56\frac{5}{6} and 46\frac{4}{6} as numbers between 36\frac{3}{6} and 26\frac{2}{6}, but these are not between 12\frac{1}{2} and 13\frac{1}{3}. We need to find smaller fractions.

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