Question

As part of a calculator app, I am trying to implement uses with sigma notation. However, the result it prints out is always a decimal, and the rest isn’t important. I simply want to change the decimal to a fraction.

I already have the reduce function, the problem I’m having is getting from a decimal like this: ‘0.96875’ to it’s fractional value, ’31/32′

Thanks!

PS: I’ve looked into just about everything, and for the life of me, I can’t figure this out. All I need at this point is how to take the decimal out of it, and I can then reduce it.

Here is my reduce method:

    -(void)reduce {

    int u = numerator;
    int v = denominator;
    int temp;

    while (v != 0) {
        temp = u % v;
        u = v;
        v = temp;
    }

    numerator /= u;
    denominator /= u;

}

Answer 1

Found this out myself. What I did was multiply the numerator and denominator by 1000000 (recalling that the decimal looked like .96875/1) so that it looked like 96875/100000.

Then, I used this reduce method to bring it into lowest terms:

    -(void)reduce {

    int u = numerator;
    int v = denominator;
    int temp;

    while (v != 0) {
        temp = u % v;
        u = v;
        v = temp;
    }

    numerator /= u;
    denominator /= u;

}

And finally,I used a print method to get it into fraction form:

//In the .h
@property int numerator, denominator, mixed;
-(void)print;

//In the .m       
@synthesize numerator, denominator, mixed;

-(void)print {
    if (numerator > denominator) {
        //Turn fraction into mixed number
        mixed = numerator/denominator;
        numerator -= (mixed * denominator);
        NSLog(@"= %i %i/%i", mixed, numerator, denominator);
    } else if (denominator != 1) {
        //Print fraction normally
        NSLog(@"= %i/%i", numerator, denominator);
    } else {
        //Print as integer if it has a denominator of 1
        NSLog(@"= %i", numerator);
    }
}

And got my desired output:

31/32