What is 1.41264 as a fraction?

Answer: 1.41264 as a fraction equals 141264/100000 or 8829/6250

Here is the solution for converting 1.41264 to a fraction:

Step 1:

First, we write 1.41264 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!

1.41264/1

  =  

1.41264 x 100000/1 x 100000

  =  

141264/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 141264 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 141264 are: 1  2  3  4  6  8  9  12  16  18  24  27  36  48  54  72  81  108  109  144  162  216  218  324  327  432  436  648  654  872  981  1296  1308  1744  1962  2616  2943  3924  5232  5886  7848  8829  11772  15696  17658  23544  35316  47088  70632  141264 
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 141264 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.

141264/100000

  =  

141264 ÷ 16/100000 ÷ 16

  =  

8829/6250

Good work! We have just walked through the steps on how to represent 1.41264 as a fraction.