What is 1.41284 as a fraction?

Answer: 1.41284 as a fraction equals 141284/100000 or 35321/25000

Here is the solution for converting 1.41284 to a fraction:

Step 1:

First, we write 1.41284 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!

1.41284/1

  =  

1.41284 x 100000/1 x 100000

  =  

141284/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 141284 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 141284 are: 1  2  4  11  13  19  22  26  38  44  52  76  143  169  209  247  286  338  418  494  572  676  836  988  1859  2717  3211  3718  5434  6422  7436  10868  12844  35321  70642  141284 
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 141284 and 100000 that gives us a GCF value of: 4

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.

141284/100000

  =  

141284 ÷ 4/100000 ÷ 4

  =  

35321/25000

Good work! We have just walked through the steps on how to represent 1.41284 as a fraction.