What is 0.37224 as a fraction?

Answer: 0.37224 as a fraction equals 37224/100000 or 4653/12500

Here is the solution for converting 0.37224 to a fraction:

Step 1:

First, we write 0.37224 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!

0.37224/1

  =  

0.37224 x 100000/1 x 100000

  =  

37224/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 37224 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 37224 are: 1  2  3  4  6  8  9  11  12  18  22  24  33  36  44  47  66  72  88  94  99  132  141  188  198  264  282  376  396  423  517  564  792  846  1034  1128  1551  1692  2068  3102  3384  4136  4653  6204  9306  12408  18612  37224 
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 37224 and 100000 that gives us a GCF value of: 8

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.

37224/100000

  =  

37224 ÷ 8/100000 ÷ 8

  =  

4653/12500

Good work! We have just walked through the steps on how to represent 0.37224 as a fraction.