I don't know how to simplify fractions on this calculator.

Refer to page no 13 of user manual of calculator. (TI-30XS / TI-30XB MultiView™ Guidebook - Texas Instruments - US and Canada) It will solve your problem.

45 and 112 are relatively prime so no, it can't be simplified further.

When you enter a fraction using the fraction key, the displayed fraction is always reduced (simplified). By hand, you look for common factors in the numerator and denominator then simplify by them. Keep looking for common factors and simplifying until there are no more common factors.

If you enter the ratios using the fraction entry key ( [a b/c] the results will be displayed as fractions. And when the calculator displays fractions they are always in their reduced form.
In general, when you are manipulating fractions ( Pi/2 is no a fraction even if you write it as one) you can try to simplify them by looking for the greatest common factor (GCF) of the numerator and denominator. When you simplify by the GCF the fraction that is left is in its reduced form.

If you enter the ratios using the fraction entry key ( [a b/c] the results will be displayed as fractions. And when the calculator displays fractions they are always in their reduced form.
In general, when you are manipulating fractions ( Pi/2 is no a fraction even if you write it as one) you can try to simplify them by looking for the greatest common factor (GCF) of the numerator and denominator. When you simplify by the GCF the fraction that is left is in its reduced form.

It cannot display irrational numbers: it displays a decimal approximation.

Two ways:

1) hit the equal sign

2) hit 2nd and [d/c] (you can do this multiple times to see it as the most reduced improper fraction or as a mixed fraction)

for my 82 i put my fraction in parentheses then press MATH and scroll to >FRAC

Hello,
Sorry the calculator handles fractions but not radicals. You may be interested in the newer Casios FX-115ES, or FX-991ES, (Natural display).
It handles a lof more that radical and fractions.
Hope it helps.

a quart is one fourth of a gallon. Dan drank half a quart of milk. What fraction of a gallon did Dan drink