What is 1.55664 as a fraction?

Answer: 1.55664 as a fraction equals 155664/100000 or 9729/6250

Here is the solution for converting 1.55664 to a fraction:

Step 1:

First, we write 1.55664 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!

1.55664/1

  =  

1.55664 x 100000/1 x 100000

  =  

155664/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 155664 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 155664 are: 1  2  3  4  6  8  9  12  16  18  23  24  36  46  47  48  69  72  92  94  138  141  144  184  188  207  276  282  368  376  414  423  552  564  752  828  846  1081  1104  1128  1656  1692  2162  2256  3243  3312  3384  4324  6486  6768  8648  9729  12972  17296  19458  25944  38916  51888  77832  155664 
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 155664 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.

155664/100000

  =  

155664 ÷ 16/100000 ÷ 16

  =  

9729/6250

Good work! We have just walked through the steps on how to represent 1.55664 as a fraction.