Rational Numbers Answer Sheet With Answers - Math 2303 Section 2.3, University Of Houston
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9Math 2303 section 2.3
Section 2.3 Rational Numbers
A rational number is a number that may be written in the form , where a and b are integers and b is nonzero.
Integer a is called the numerator, and the integer b is called the denominator.
Examples of rational numbers:
The rational numbers are ratios of whole numbers.
Equivalent fractions: two rational numbers
are equivalent if and only if
. Note that
.
Example 1: Determine whether or not the fractions
and
are equivalent.
Reducing Fractions
To reduce a fraction we must find the greatest common factor, gcf, and divide it out. The resulting fraction is
in simplest form (lowest terms).
Finding the gcf is too much work, start by dividing out common factors ( you may use the divisibility rules
here), the fraction will become simpler.
Example 2: Reduce to lowest terms.
a.
b.
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