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HP 9g Solving Problems Involving Fractions
~o is used for converting a mixed number to an improper fraction and vice versa, and ~n for converting
a decimal to and from a fraction. Let's illustrate all this with various examples.
Practice working problems involving fractions
Example 1: Enter the proper fractions
Solution:
Note that pressing 3/9= does not return a fraction but a decimal number which is the result—
within the accuracy of the calculator—of dividing 3 by 9. As stated above, fractions are entered with the
Okey, which separates the numerator from the denominator. Press:
3O9
The entry line now reads 3 9. Press = to display the result line. The fraction now displayed is 1 3,
which is equivalent to the entered fraction but reduced to its simple form. The HP 9g always tries to find
the simplest equivalent fraction. Let's enter the second fraction by pressing:
21O124=
No reduction is possible this time, therefore the fraction displayed in the result line is 21 124.
Example 2: Enter the improper fraction
Solution:
These fractions are entered exactly as in the previous example, but the results displayed after pressing the
= key are different. Let's enter the first fraction by pressing:
1,3O101=
The fraction displayed in the entry line (1E3 101) changes to 9 91 101 which means
fractions are always converted to mixed numbers (i.e. an integer plus a proper fraction) after pressing =.
As with proper fractions, the HP 9g tries to give the simplest form. As to the complex fraction, press:
1.8O9=
It returns 0.2 and not the fraction
are calculated in decimal format. As long as both the numerator and the denominator evaluate to an
integer, the result will be in fraction format, though. For example √(4) 3 will return 2 3.
Example 3: Enter the mixed numbers
Solution:
When entering mixed numbers, remember that the O key is used for separating both the integer from
the proper fraction and the numerator from the denominator. To enter the first fraction press:
hp calculators
3
21
and
9
124
1000
and the complex fraction
101
. This is because calculations containing both fractions and decimals
1
5
−
2
,
57
and
19
7
1
3
18
125
5
- 3 -
1.
8
9
.
HP 9g Solving Problems Involving Fractions - Version 1.1
. Improper
91
9
101
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