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Sorry to disappoint you but this calculator does not perform modulo calculations. However you can use the fraction key [a b/c] to enter the numerator and denominator. If the result is given as an improper fraction a b/c, then a mod c=b.
If the result is given as an improper fraction (that would be you input) press [SHIFT][a b/c] to convert it.
On the display integer part, the numerator of the fraction part and its denominator are separated by a symbol as seen on the screen capture below.
The display of radicals and Pi is limited. For example only square roots are displayed as roots, standing alone or in some complicated fractions. Pi is shown as Pi, but pi^2 is not. These are limitations you have to accept. So you did not do anything wrong.
Equivalent fractions are fractions that have the same value. 2/6 is equivalent to 4/12, 8/24, 16/48. From a given fraction you can generate an infinity of other equivalent fractions by multiplying the numerator and the denominator by the same integer. All the equivalent fractions can be generated from a single one, namely the fraction that has the lowest numerator and denominator. This one is called the reduced fraction or the reduced form of the fraction.
When you have a fraction you can try to simplify it: You look for a common factor in the numerator and the denominator and you divide both by it. Keep doing so until you can no longer find common factors to cancel out. The last fraction whose numerator and denominator have no common factor is the reduced form of the family of equivalent fractions.
Sorry its not possible with this particular model.
What my teacher in 6th grade did was make it mandatory for all of us to buy ti-30.
This may sound drastic but its very cheap (only 10 dollars) and has severed me well for almost 9 years. Its can convert decimals into fractions and do native fraction manipulations.
To convert fractions to decimals or decimals to fractions, you use the [S<->D] key. Each time you press the key the result is displayed in the other format.
Alternatively, If you multiply or divide two integer numbers put a decimal mark at the end of one of the numbers (any one). The result will be displayed in decimal format.