What is 1.79872 as a fraction?

Answer: 1.79872 as a fraction equals 179872/100000 or 5621/3125

Here is the solution for converting 1.79872 to a fraction:

Step 1:

First, we write 1.79872 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!

1.79872/1

  =  

1.79872 x 100000/1 x 100000

  =  

179872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 179872 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 179872 are: 1  2  4  7  8  11  14  16  22  28  32  44  56  73  77  88  112  146  154  176  224  292  308  352  511  584  616  803  1022  1168  1232  1606  2044  2336  2464  3212  4088  5621  6424  8176  11242  12848  16352  22484  25696  44968  89936  179872 
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 179872 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.

179872/100000

  =  

179872 ÷ 32/100000 ÷ 32

  =  

5621/3125

Good work! We have just walked through the steps on how to represent 1.79872 as a fraction.