What is 1.15456 as a fraction?

Answer: 1.15456 as a fraction equals 115456/100000 or 3608/3125

Here is the solution for converting 1.15456 to a fraction:

Step 1:

First, we write 1.15456 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!

1.15456/1

  =  

1.15456 x 100000/1 x 100000

  =  

115456/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 115456 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 115456 are: 1  2  4  8  11  16  22  32  41  44  64  82  88  128  164  176  256  328  352  451  656  704  902  1312  1408  1804  2624  2816  3608  5248  7216  10496  14432  28864  57728  115456 
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 115456 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.

115456/100000

  =  

115456 ÷ 32/100000 ÷ 32

  =  

3608/3125

Good work! We have just walked through the steps on how to represent 1.15456 as a fraction.