Explanation:
In mathematics, an inequality is
a statement how the relative size or order of two objects, or about
whether they are the same or not.
1. The
notation a < b means that a is less
than b.
2. The
notation a > b means that a is greater
than b.
3. The
notation a ≠ b means that a is not
equal to b, but does not say that one is greater than the
other or even that they can be compared in size.
http://en.wikipedia.org/wiki/Comparison_(mathematics)
Comparing fractions
Comparing fractions with the same denominator only requires
comparing the numerators.
because 3>2.
One way to compare fractions with different denominators is to
find a common denominator. To compare and , these are converted
to and
. Then bd is a common
denominator and the numerators ad and bc can be compared
? gives
As a short cut, known as "cross multiplying", you can
just compare ad and bc, without computing the denominator.
?
Multiply 17 by 5 and multiply 18 by 4. Since 85 is greater than
72,
. (Our solved example in
mathguru.com uses this concept)
Another method of comparing fractions is this: if two fractions
have the same numerator, then the fraction with the smaller denominator is the
larger fraction. The reasoning is that since, in the first fraction, fewer
equal pieces are needed to make up a whole, each piece must be larger.
Also note that every negative number, including negative
fractions, is less than zero, and every positive number, including positive
fractions, is greater than zero, so every negative fraction is less than any
positive fraction.
http://en.wikipedia.org/wiki/Fraction_(mathematics)
The above explanation is copied from
Wikipedia, the free encyclopedia and is remixed as allowed under the Creative
Commons Attribution- ShareAlike 3.0 Unported License.