What is 1.80224 as a fraction?

Answer: 1.80224 as a fraction equals 180224/100000 or 5632/3125

Here is the solution for converting 1.80224 to a fraction:

Step 1:

First, we write 1.80224 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!

1.80224/1

  =  

1.80224 x 100000/1 x 100000

  =  

180224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 180224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 180224 are: 1  2  4  8  11  16  22  32  44  64  88  128  176  256  352  512  704  1024  1408  2048  2816  4096  5632  8192  11264  16384  22528  45056  90112  180224 
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 180224 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.

180224/100000

  =  

180224 ÷ 32/100000 ÷ 32

  =  

5632/3125

Good work! We have just walked through the steps on how to represent 1.80224 as a fraction.