What is 1.57584 as a fraction?

Answer: 1.57584 as a fraction equals 157584/100000 or 9849/6250

Here is the solution for converting 1.57584 to a fraction:

Step 1:

First, we write 1.57584 as  

Step 2:

Next, we multiply both the numerator and denominator by 10 for each digit after the decimal point. Remember the numerator is the top part of the fraction and the denominator is the bottom part!

1.57584/1

  =  

1.57584 x 100000/1 x 100000

  =  

157584/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 157584 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 157584 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  49  56  67  84  98  112  134  147  168  196  201  268  294  336  392  402  469  536  588  784  804  938  1072  1176  1407  1608  1876  2352  2814  3216  3283  3752  5628  6566  7504  9849  11256  13132  19698  22512  26264  39396  52528  78792  157584 
The factors of 100000 are: 1  2  4  5  8  10  16  20  25  32  40  50  80  100  125  160  200  250  400  500  625  800  1000  1250  2000  2500  3125  4000  5000  6250  10000  12500  20000  25000  50000  100000 
So for 157584 and 100000 that gives us a GCF value of: 16

Step 4:

For the last step we reduce the fraction. This just means writing the fraction in the simplest way. To do this we divide both the numerator and denominator by the GCF value we determined in step 3.

157584/100000

  =  

157584 ÷ 16/100000 ÷ 16

  =  

9849/6250

Good work! We have just walked through the steps on how to represent 1.57584 as a fraction.