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HP 9g Manual page 4

Solving problems involving fractions
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HP 9g Solving Problems Involving Fractions
7O2O18=
The fraction returned is 7 1 9, i.e.
Let's now enter the second fraction
keyed in by pressing the M key before entering any part (integer, numerator or denominator). It is
usually pressed just before the integer of a mixed number or the numerator of a fraction. In this example
press:
M1O57O125=
No cancellation is possible this time, so the result is –1 57 125.
Note that the third number is not actually a mixed number strictly speaking because its fraction part is not
proper. Nevertheless, your HP 9g can handle it as well and will return the reduced, proper form. Press:
3O19O5=
which returns the mixed number
Fractions can be entered and displayed wherever ordinary decimal numbers can be used. For example fractions can be
used in ordinary arithmetic, in calculations with logarithmic and trigonometric functions and also in programs. But
fractions cannot be used in Base-N mode – operations in this mode only work with integers.
Example 4: Add
3
to
1
4
Solution:
We will enter the two mixed numbers as explained above. No parenthesis is necessary because fractions
(" ") take priority over the addition. Press:
1O3O4+2O5O8
The entry line now reads 1 3 4 + 2 5 8. Press = to carry out the calculation.
Answer:
The result line reads 4 3 8 which means
result is expressed as a fraction too.
Example 5: Express the previous result as a decimal.
Solution:
F↔D (~n) is a one-argument function, a F↔D, that converts a decimal to a fraction or vice versa.
Since the result of the previous example is stored in ANS, we don't need to enter it again, just press:
~n=
Answer:
4.375. Since pressing the =key repeats the most recent calculation, if you press =now, the result line
will contain the mixed number again. Press =one more time to display the decimal fraction.
hp calculators
4
6
5
5
2
8
1
which is the same as
7
9
57
. On the HP 9g negative fractions and mixed numbers are
1
125
.
3
. Since this calculation only contains fractions then the
4
8
- 4 -
2
after doing a cancellation.
7
18
HP 9g Solving Problems Involving Fractions - Version 1.1

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