What is 1.98144 as a fraction?

Answer: 1.98144 as a fraction equals 198144/100000 or 6192/3125

Here is the solution for converting 1.98144 to a fraction:

Step 1:

First, we write 1.98144 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!

1.98144/1

  =  

1.98144 x 100000/1 x 100000

  =  

198144/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 198144 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 198144 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  43  48  64  72  86  96  128  129  144  172  192  256  258  288  344  384  387  512  516  576  688  768  774  1032  1152  1376  1536  1548  2064  2304  2752  3096  4128  4608  5504  6192  8256  11008  12384  16512  22016  24768  33024  49536  66048  99072  198144 
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 198144 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.

198144/100000

  =  

198144 ÷ 32/100000 ÷ 32

  =  

6192/3125

Good work! We have just walked through the steps on how to represent 1.98144 as a fraction.