What is 0.62784 as a fraction?

Answer: 0.62784 as a fraction equals 62784/100000 or 1962/3125

Here is the solution for converting 0.62784 to a fraction:

Step 1:

First, we write 0.62784 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!

0.62784/1

  =  

0.62784 x 100000/1 x 100000

  =  

62784/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 62784 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 62784 are: 1  2  3  4  6  8  9  12  16  18  24  32  36  48  64  72  96  109  144  192  218  288  327  436  576  654  872  981  1308  1744  1962  2616  3488  3924  5232  6976  7848  10464  15696  20928  31392  62784 
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 62784 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.

62784/100000

  =  

62784 ÷ 32/100000 ÷ 32

  =  

1962/3125

Good work! We have just walked through the steps on how to represent 0.62784 as a fraction.