What is 1.14576 as a fraction?

Answer: 1.14576 as a fraction equals 114576/100000 or 7161/6250

Here is the solution for converting 1.14576 to a fraction:

Step 1:

First, we write 1.14576 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!

1.14576/1

  =  

1.14576 x 100000/1 x 100000

  =  

114576/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 114576 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 114576 are: 1  2  3  4  6  7  8  11  12  14  16  21  22  24  28  31  33  42  44  48  56  62  66  77  84  88  93  112  124  132  154  168  176  186  217  231  248  264  308  336  341  372  434  462  496  528  616  651  682  744  868  924  1023  1232  1302  1364  1488  1736  1848  2046  2387  2604  2728  3472  3696  4092  4774  5208  5456  7161  8184  9548  10416  14322  16368  19096  28644  38192  57288  114576 
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 114576 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.

114576/100000

  =  

114576 ÷ 16/100000 ÷ 16

  =  

7161/6250

Good work! We have just walked through the steps on how to represent 1.14576 as a fraction.