Xcode需要混合分数但显示快速分数

Question

问题

我正在尝试将小数转换为混合分数。我已经设法让我的小应用程序以时尚的方式工作。

这就是我想要做的事情：

• 我通过文本字段向用户询问小数值
• 他们输入1.25
• 它将值转换并计算为分数
• 然后输出值5/4
• 但我需要它是1 1/4

我知道（相反，我希望我错过了一些简单的事情），但我只是让自己完全糊涂了。

代码

- (int)gcdForNumber1:(int) m andNumber2:(int) n
{
    while( n!= 0) // execute loop until m == n
    {
    int temp = n; n = m % temp; m = temp;
    }
    return (m);
}


- (int)tenRaisedTopower:(int)decimalLength
    {
    int answer = 10;
    while (decimalLength!= 1) {
        answer *= 10;
        decimalLength -- ;
    }
    return answer;
}

- (void)floatToFraction:(float)decimalNumber
{
    NSString *decimalString = [NSString stringWithFormat:@"%f", decimalNumber];
    NSArray *components = [decimalString componentsSeparatedByString:@"."];
    int decimalLength = [[components objectAtIndex:1] length];
    int n = [self tenRaisedTopower:decimalLength];
    int m = [[components objectAtIndex:1] intValue];
    int gcd = [self gcdForNumber1:m andNumber2:n];
    int numer = m/gcd;
    int deno = n/gcd;
    int fractionnumer = ([[components objectAtIndex:0] intValue] * deno) + numer;
    NSString *fractionvalue = [[NSString alloc] initWithFormat:@"%d/%d", fractionnumer, deno ];
    self.metersFractionalOutput.text = fractionvalue;

}

感谢Martin R的反馈，你的指针帮助我启动了数学过程，所以我确信可能有更有效的方法来做到这一点，但我通过以下方式解决了这个问题

- (int)gcdForNumber1:(int) m andNumber2:(int) n
{
    while( n!= 0) // execute loop until m == n
    {
    int temp = n; n = m % temp; m = temp;
    }
    return (m);
}


- (int)tenRaisedTopower:(int)decimalLength
    {
    int answer = 10;
    while (decimalLength!= 1) {
        answer *= 10;
        decimalLength -- ;
    }
    return answer;
}

- (void)floatToFraction:(float)decimalNumber
{
    NSString *decimalString = [NSString stringWithFormat:@"%f", decimalNumber];
    NSArray *components = [decimalString componentsSeparatedByString:@"."];
    int decimalLength = [[components objectAtIndex:1] length];
    int n = [self tenRaisedTopower:decimalLength];
    int m = [[components objectAtIndex:1] intValue];
    int gcd = [self gcdForNumber1:m andNumber2:n];
    int numer = m/gcd;
    int deno = n/gcd;
    self.wh = [[components objectAtIndex:0] intValue];

    if (numer > deno)
        {
        int extra = numer / deno;
        numer -= extra * deno;

    }


   NSString *fractionvalue = [[NSString alloc] initWithFormat:@"%d ""%d/%d", self.wh, numer, deno ];
   self.metersFractionalOutput.text = fractionvalue;