What is 1.07226 as a fraction?

Answer: 1.07226 as a fraction equals 107226/100000 or 53613/50000

Here is the solution for converting 1.07226 to a fraction:

Step 1:

First, we write 1.07226 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!

1.07226/1

  =  

1.07226 x 100000/1 x 100000

  =  

107226/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 107226 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 107226 are: 1  2  3  6  7  9  14  18  21  23  37  42  46  63  69  74  111  126  138  161  207  222  259  322  333  414  483  518  666  777  851  966  1449  1554  1702  2331  2553  2898  4662  5106  5957  7659  11914  15318  17871  35742  53613  107226 
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 107226 and 100000 that gives us a GCF value of: 2

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.

107226/100000

  =  

107226 ÷ 2/100000 ÷ 2

  =  

53613/50000

Good work! We have just walked through the steps on how to represent 1.07226 as a fraction.