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Example Questions
Example Question #3 : How To Order Fractions From Least To Greatest Or From Greatest To Least
Which of the following fractions is the greatest?
The trick to this problem is to see that three of the choices have the numerator and denominator 3 units apart. The other two choices can be made three units apart as well- multiply both and
by
to get them to be
and
, respectively.
The trick is that once all fractions are the same units apart in denominator and numerator, the biggest number is the largest fraction.
Example Question #4 : How To Order Fractions From Least To Greatest Or From Greatest To Least
Order the following from least to greatest: three-fifths, seven-eighths, 0.5, sixteen-eighteenths, 97%, 17-fifths.
three-fifths, ,
, seven-eighths, sixteen-eighteenths,
-fifths
,
, three-fifths, seven-eighths, sixteen-eighteenths,
-fifths
, three-fifths, sixteen-eighteenths, seven-eighths,
,
-fifths
, three-fifths, seven-eighths, sixteen-eighteenths,
,
-fifths
, three-fifths, seven-eighths, sixteen-eighteenths,
-fifths,
, three-fifths, seven-eighths, sixteen-eighteenths,
,
-fifths
We need to order: three fifths, seven eights, 0.5, sixteen eighteenths, 97%, seventeen fifths.
Let us re-write each as a fraction: ,
,
,
,
, and
. We can now easily order these:
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