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Comparison of Rational Numbers

# Comparison of Rational Numbers

While comparing positive rational numbers with the same denominator, the number with the greatest numerator is the largest.

Lesson Demo

While comparing positive rational numbers with the same denominator, the number with the greatest numerator is the largest.  It is easy to compare these numbers if their denominators are the same.
Eg:
A positive rational number is always greater than a negative rational number.

While comparing negative rational numbers with the same denominator, compare their numerators ignoring the minus sign. The number with the greatest numerator is the smallest.

Positive rational numbers lie to the right of 0, while negative rational numbers lie to the left of 0 on the number line.

To compare rational numbers with different denominators, convert them into equivalent rational numbers with the same denominator, which is equal to the LCM of their denominators.  You can find infinite rational numbers between any two given rational numbers.