What is 1.58784 as a fraction?

Answer: 1.58784 as a fraction equals 158784/100000 or 4962/3125

Here is the solution for converting 1.58784 to a fraction:

Step 1:

First, we write 1.58784 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!

1.58784/1

  =  

1.58784 x 100000/1 x 100000

  =  

158784/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 158784 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 158784 are: 1  2  3  4  6  8  12  16  24  32  48  64  96  192  827  1654  2481  3308  4962  6616  9924  13232  19848  26464  39696  52928  79392  158784 
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 158784 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.

158784/100000

  =  

158784 ÷ 32/100000 ÷ 32

  =  

4962/3125

Good work! We have just walked through the steps on how to represent 1.58784 as a fraction.