What is 1.49292 as a fraction?

Answer: 1.49292 as a fraction equals 149292/100000 or 37323/25000

Here is the solution for converting 1.49292 to a fraction:

Step 1:

First, we write 1.49292 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!

1.49292/1

  =  

1.49292 x 100000/1 x 100000

  =  

149292/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 149292 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 149292 are: 1  2  3  4  6  9  11  12  13  18  22  26  29  33  36  39  44  52  58  66  78  87  99  116  117  132  143  156  174  198  234  261  286  319  348  377  396  429  468  522  572  638  754  858  957  1044  1131  1276  1287  1508  1716  1914  2262  2574  2871  3393  3828  4147  4524  5148  5742  6786  8294  11484  12441  13572  16588  24882  37323  49764  74646  149292 
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 149292 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.

149292/100000

  =  

149292 ÷ 4/100000 ÷ 4

  =  

37323/25000

Good work! We have just walked through the steps on how to represent 1.49292 as a fraction.