Class description

AlgebraicFraction $-$ an object for holding abstract fractional representations.

fields

numerator: an ArrayList of each numerator component

denominator: an ArrayList of each denominator component

methods

AlgebraicFraction$($num$,$ denom$)$ : The values of each cell of the num array should be put in to the numerator ArrayList and the values of each cell in the denom array should be put into the denominator ArrayList. Then the fraction should be reduced with the below Fraction reducing algorithm.

multiply $($otherFraction$)$ should return a new AlgebraicFraction from the combination of the two fractions. See Fraction multiplication algorithm.

toString$()$ : this method should return a String representation of the $($reduced$)$ fraction. The parts of the numerator should be prefixed by a $"("$ then separated by single spaces followed by $")/("$ and then the parts of the denominator should be separated by spaces and then ended with a $")".$

Fraction reducing algorithm

For each Object $n$ in the num array $($passed into the constructor$)$:

if $n$ is in the numerator ArrayList and $n$ is in the denominator ArrayList

remove $n$ from the numerator array list

remove $n$ from the denominatory array list

Fraction multiplication algorithm

to multiply fractions a and $b$

combine the numerators of fractions a and $b$

combine the denominators of fractions a and $b$

make a new fraction with the combined numerators and denominators

$($reduce$)$

Fraction multiplication example

$\frac{abc}{\text{d}\text{e}\text{f}}$ times $\frac{dfg}{\text{a}\text{i}\text{n}\text{r}}$

combined numerator: $(b$ b c dfg$)$

combined denominator: $(d$ e $f$ a e $r)$

new fraction e $r$

reduced: $r(ber)$

Submission

When you submit your files to this repository they will be tested with the GitHub classroom autograding system. You can submit as many versions of each file until all of the tests pass.

The first tests will test the GridText using different constructors. There are $4$ tests.

The second tests will test the AlgebraicFraction using different constructors and multipliers. There are $4$ tests.

The points for the autograder are just so that you know how many tests passed. Passing the tests is just a way to see if your code works correctly. It does not directly address your learning of the material. Your narrative should include a discussion of the autograder results as well as any other tests you performed to make sure that your classes worked.