HP 9g Manual

hp calculators
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
9
3
and
124
21
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
101
1000
and the complex fraction
9
81.
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
101
91
9
. Improper
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
5
1
. This is because calculations containing both fractions and decimals
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
18
2
7
,
125
57
1− and
5
19
3 .
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 - HP 9g Solving Problems Involving Fractions - Version 1.1

HP 9g Specifications

General

Digits	- digits
Display type	LCD
Display tilting	No
Display number of lines	- lines
Type	Graphing
Cover	-
Form factor	Desktop
Control type	Buttons
Product color	Black
Battery type	GP-76A
Power source	Battery

Weight and Dimensions

Depth	155 mm
Width	81 mm
Height	13.7 mm