What is 1.45266 as a fraction?

Answer: 1.45266 as a fraction equals 145266/100000 or 72633/50000

Here is the solution for converting 1.45266 to a fraction:

Step 1:

First, we write 1.45266 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!

1.45266/1

  =  

1.45266 x 100000/1 x 100000

  =  

145266/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 145266 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 145266 are: 1  2  3  6  11  22  31  33  62  66  71  93  142  186  213  341  426  682  781  1023  1562  2046  2201  2343  4402  4686  6603  13206  24211  48422  72633  145266 
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 145266 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.

145266/100000

  =  

145266 ÷ 2/100000 ÷ 2

  =  

72633/50000

Good work! We have just walked through the steps on how to represent 1.45266 as a fraction.