I am very new to Objective-C as well as objected oriented programming, and in a book I am studying from there is an exercise in which I was supposed to create a class called Rational, that has hidden data members called numerator and denominator, and methods to add, multiply, subtract and divide the Rational objects (the objects are just fractions) together.  For some reason when I run the program it becomes extremely slow when calculating. I am using ARC on X-Code, and I am wondering if it has to do with memory management issues.Here is the .m file of the class:#import Rational.h@interface Rational (privateMethods)-(int) gcd:(int) a: (int) b;-(Rational*) simplifyFraction:(Rational*)fraction;@end@implementation Rational@synthesize numerator, denominator;-(Rational*) multiplyFraction:(Rational *)fraction1 :(Rational *)fraction2{    fraction1.numerator = fraction1.numerator * fraction2.numerator;    fraction1.denominator = fraction1.denominator * fraction2.denominator;    fraction1 = [self simplifyFraction:fraction1];    return fraction1;}-(Rational*) addFraction:(Rational *)fraction1 :(Rational *)fraction2{    Rational * returnFraction = [[Rational alloc] init];    fraction1.numerator = fraction1.numerator*fraction2.denominator;    fraction2.numerator = fraction2.numerator *fraction1.denominator;    fraction1.denominator = fraction1.denominator*fraction2.denominator;    fraction2.denominator = fraction1.denominator;    returnFraction.numerator = fraction1.numerator + fraction2.numerator;    returnFraction.denominator = fraction1.denominator;    returnFraction = [self simplifyFraction:returnFraction];    return returnFraction;}-(Rational*) subtractFraction:(Rational *)fraction1 :(Rational *)fraction2{    Rational * returnFraction = [[Rational alloc] init];    fraction1.numerator = fraction1.numerator*fraction2.denominator;    fraction2.numerator = fraction2.numerator *fraction1.denominator;    fraction1.denominator = fraction1.denominator*fraction2.denominator;    fraction2.denominator = fraction1.denominator;    returnFraction.numerator = fraction1.numerator - fraction2.numerator;    returnFraction.denominator = fraction1.denominator;    returnFraction = [self simplifyFraction:returnFraction];    return returnFraction;}-(Rational*) divideFraction:(Rational *)fraction1 :(Rational *)fraction2{    Rational * returnFraction = [[Rational alloc] init];    const int temp = fraction2.denominator;    fraction2.denominator = fraction2.numerator;    fraction2.numerator = temp;    returnFraction.numerator = fraction1.numerator * fraction2.numerator;    returnFraction.denominator = fraction2.denominator * fraction1.denominator;    returnFraction = [self simplifyFraction:returnFraction];    return returnFraction;}-(void) printObject:(Rational *)fraction{    printf(%i/%i,fraction.numerator, fraction.denominator);    printf(\n);}-(void) printRoundedFloat:(Rational *)fraction{    float number = (float)fraction.numerator/fraction.denominator;    printf(%f, number);    printf(\n);}-(int)gcd:(int)a :(int)b{    if (b==0) {        return a;    }    else        return [self gcd:b :a%b];}-(Rational*) simplifyFraction:(Rational *)fraction{    if (fraction.denominator == 0) {        NSLog(@ERROR: YOU CAN NOT HAVE ZERO IN THE DENOMINATOR);}    else{        int i = fraction.numerator > fraction.denominator ? fraction.numerator:fraction.denominator;        while (i>1) {            if (fraction.numerator % i == 0 && fraction.denominator%i==0) {                fraction.numerator/=i;                fraction.denominator/=i;            }            --i;        }    }    return fraction;}-(void) dealloc{}@endHere is the Main.m file of the program:import <Foundation/Foundation.h>import Rational.hint main (int argc, const char * argv[]){    @autoreleasepool {        Rational * newFraction = [[Rational alloc] init];        Rational * otherFraction = [[Rational alloc] init];        newFraction.numerator = 1;        newFraction.denominator = 25;        printf(Fraction 1 is: );        [newFraction printObject:newFraction];        otherFraction.numerator = 1;        otherFraction.denominator = 5;        printf(Fraction 2 is:  );        [otherFraction printObject:otherFraction];        printf(\nThe Fractions Added togeher are: );        id number = [newFraction addFraction:newFraction :otherFraction];        [number printObject:number];        printf(Rounded: );        [number printRoundedFloat:number];        printf(\nThe Fractions subtracted are: );        number = [number subtractFraction:newFraction :otherFraction];        [number printObject:number];        printf(Rounded: );        [number printRoundedFloat:number];        printf(\nThe Fractions multiplied are: );        number = [number multiplyFraction:newFraction :otherFraction];        [number printObject:number];        printf(Rounded: );        [number printRoundedFloat:number];        printf(\nThe Fractions divided are: );        number = [number divideFraction:newFraction :otherFraction];        [number printObject:number];        printf(Rounded:  );        [number printRoundedFloat:number];    }    return 0;
Rational class to handle fractions
performance;beginner;object oriented;objective c;rational numbers