What is 1.30416 as a fraction?

Answer: 1.30416 as a fraction equals 130416/100000 or 8151/6250

Here is the solution for converting 1.30416 to a fraction:

Step 1:

First, we write 1.30416 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!

1.30416/1

  =  

1.30416 x 100000/1 x 100000

  =  

130416/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 130416 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 130416 are: 1  2  3  4  6  8  11  12  13  16  19  22  24  26  33  38  39  44  48  52  57  66  76  78  88  104  114  132  143  152  156  176  208  209  228  247  264  286  304  312  418  429  456  494  528  572  624  627  741  836  858  912  988  1144  1254  1482  1672  1716  1976  2288  2508  2717  2964  3344  3432  3952  5016  5434  5928  6864  8151  10032  10868  11856  16302  21736  32604  43472  65208  130416 
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 130416 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.

130416/100000

  =  

130416 ÷ 16/100000 ÷ 16

  =  

8151/6250

Good work! We have just walked through the steps on how to represent 1.30416 as a fraction.