What is 1.16928 as a fraction?

Answer: 1.16928 as a fraction equals 116928/100000 or 3654/3125

Here is the solution for converting 1.16928 to a fraction:

Step 1:

First, we write 1.16928 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!

1.16928/1

  =  

1.16928 x 100000/1 x 100000

  =  

116928/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 116928 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 116928 are: 1  2  3  4  6  7  8  9  12  14  16  18  21  24  28  29  32  36  42  48  56  58  63  64  72  84  87  96  112  116  126  144  168  174  192  203  224  232  252  261  288  336  348  406  448  464  504  522  576  609  672  696  812  928  1008  1044  1218  1344  1392  1624  1827  1856  2016  2088  2436  2784  3248  3654  4032  4176  4872  5568  6496  7308  8352  9744  12992  14616  16704  19488  29232  38976  58464  116928 
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 116928 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.

116928/100000

  =  

116928 ÷ 32/100000 ÷ 32

  =  

3654/3125

Good work! We have just walked through the steps on how to represent 1.16928 as a fraction.