What is 1.58688 as a fraction?

Answer: 1.58688 as a fraction equals 158688/100000 or 4959/3125

Here is the solution for converting 1.58688 to a fraction:

Step 1:

First, we write 1.58688 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!

1.58688/1

  =  

1.58688 x 100000/1 x 100000

  =  

158688/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 158688 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 158688 are: 1  2  3  4  6  8  9  12  16  18  19  24  29  32  36  38  48  57  58  72  76  87  96  114  116  144  152  171  174  228  232  261  288  304  342  348  456  464  522  551  608  684  696  912  928  1044  1102  1368  1392  1653  1824  2088  2204  2736  2784  3306  4176  4408  4959  5472  6612  8352  8816  9918  13224  17632  19836  26448  39672  52896  79344  158688 
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 158688 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.

158688/100000

  =  

158688 ÷ 32/100000 ÷ 32

  =  

4959/3125

Good work! We have just walked through the steps on how to represent 1.58688 as a fraction.