Answer:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
Step-by-step explanation:
Given
[tex]Library \to \frac{1}{2}[/tex]
[tex]Post\ Office \to \frac{3}{5}[/tex]
See comment for complete question
Required
Write as a common denominator
Take the denominator of both fractions
[tex]2 \to[/tex]
[tex]5 \to[/tex]
Calculate the LCM
[tex]2 \to 1 * 2[/tex]
[tex]5 \to 1 * 5[/tex]
[tex]LCM = 1 * 2 * 5[/tex]
[tex]LCM = 10[/tex]
Multiply the numerator and the denominator of both fractions by 10
Simplify each to ensure a denominator of 10
[tex]\frac{1}{2} \to \frac{1}{2} * \frac{10}{10} \to \frac{1}{1} * \frac{5}{10} \to \frac{5}{10}[/tex]
[tex]\frac{3}{5} \to \frac{3}{5} * \frac{10}{10} \to \frac{3}{1} * \frac{2}{10} \to \frac{6}{10}[/tex]
Hence, the pair is:
[tex](\frac{5}{10},\frac{6}{10})[/tex]
