What is 0.89376 as a fraction?

Answer: 0.89376 as a fraction equals 89376/100000 or 2793/3125

Here is the solution for converting 0.89376 to a fraction:

Step 1:

First, we write 0.89376 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!

0.89376/1

  =  

0.89376 x 100000/1 x 100000

  =  

89376/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 89376 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 89376 are: 1  2  3  4  6  7  8  12  14  16  19  21  24  28  32  38  42  48  49  56  57  76  84  96  98  112  114  133  147  152  168  196  224  228  266  294  304  336  392  399  456  532  588  608  672  784  798  912  931  1064  1176  1568  1596  1824  1862  2128  2352  2793  3192  3724  4256  4704  5586  6384  7448  11172  12768  14896  22344  29792  44688  89376 
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 89376 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.

89376/100000

  =  

89376 ÷ 32/100000 ÷ 32

  =  

2793/3125

Good work! We have just walked through the steps on how to represent 0.89376 as a fraction.