Rational numbers can be written as fractions where the numerator and denominator are integers. To compare two rational numbers, compare just the numerators without calculating a common denominator. For example, to compare 5/8 and 2/3, compare the numerators 5 and 2 to determine that 5/8 is less than 2/3. Rational numbers must have integers, not decimals or other fractions, as the numerator and denominator.

1. 4-3
Comparing & Ordering Rational Numbers
Rational Number—any number that can be written in the form of a fraction:
a & b MUST be INTEGERS—positive or negative WHOLE numbers!
a & b CANNOT be decimals or fractions!
Never write a rational number in this form:
a
b
1
4
3
2.6

2. Ex. 1. Compare each of the following rational numbers:
a. 5
8
2
3
24 24
15 16
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Here is a shortcut for comparing any two fractions!
5
8
2
3
15 16<
LOOK FAMILIAR????
We calculated the numerators without
worrying about a common
denominator!
COMARE THE
NUMERATORS!!
4-3
Comparing & Ordering Rational Numbers