What is 1.26144 as a fraction?

Answer: 1.26144 as a fraction equals 126144/100000 or 3942/3125

Here is the solution for converting 1.26144 to a fraction:

Step 1:

First, we write 1.26144 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!

1.26144/1

  =  

1.26144 x 100000/1 x 100000

  =  

126144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 126144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 126144 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  64  72  73  96  108  144  146  192  216  219  288  292  432  438  576  584  657  864  876  1168  1314  1728  1752  1971  2336  2628  3504  3942  4672  5256  7008  7884  10512  14016  15768  21024  31536  42048  63072  126144 
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 126144 and 100000 that gives us a GCF value of: 32

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.

126144/100000

  =  

126144 ÷ 32/100000 ÷ 32

  =  

3942/3125

Good work! We have just walked through the steps on how to represent 1.26144 as a fraction.