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Example Questions
Example Question #3 : Fractions
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 #3 : Ordering Fractions
Order the following from least to greatest: three-fifths, seven-eighths, 0.5, sixteen-eighteenths, 97%, 17-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
, 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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