High School

Find a rational number between [tex]\frac{13}{15}[/tex] and [tex]\frac{14}{15}[/tex].

Answer :

Final answer:

To find a rational number between 13/15 and 14/15, we can choose the fraction 9/10.

Explanation:

To find a rational number between 13/15 and 14/15, we need to find a fraction whose numerator is between the numerators of the given fractions and whose denominator is between their denominators. Since both fractions are close together, we can simply choose a fraction with a numerator of 13+14=27 and a denominator of 15+15=30. This gives us the fraction 27/30, which simplifies to 9/10. Therefore, 9/10 is a rational number between 13/15 and 14/15.

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