What is 1.06176 as a fraction?

Answer: 1.06176 as a fraction equals 106176/100000 or 3318/3125

Here is the solution for converting 1.06176 to a fraction:

Step 1:

First, we write 1.06176 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!

1.06176/1

  =  

1.06176 x 100000/1 x 100000

  =  

106176/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 106176 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 106176 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  48  56  64  79  84  96  112  158  168  192  224  237  316  336  448  474  553  632  672  948  1106  1264  1344  1659  1896  2212  2528  3318  3792  4424  5056  6636  7584  8848  13272  15168  17696  26544  35392  53088  106176 
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 106176 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.

106176/100000

  =  

106176 ÷ 32/100000 ÷ 32

  =  

3318/3125

Good work! We have just walked through the steps on how to represent 1.06176 as a fraction.