What is 1.44625 as a fraction?

Answer: 1.44625 as a fraction equals 144625/100000 or 1157/800

Here is the solution for converting 1.44625 to a fraction:

Step 1:

First, we write 1.44625 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!

1.44625/1

  =  

1.44625 x 100000/1 x 100000

  =  

144625/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 144625 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 144625 are: 1  5  13  25  65  89  125  325  445  1157  1625  2225  5785  11125  28925  144625 
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 144625 and 100000 that gives us a GCF value of: 125

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.

144625/100000

  =  

144625 ÷ 125/100000 ÷ 125

  =  

1157/800

Good work! We have just walked through the steps on how to represent 1.44625 as a fraction.