What is 0.87822 as a fraction?

Answer: 0.87822 as a fraction equals 87822/100000 or 43911/50000

Here is the solution for converting 0.87822 to a fraction:

Step 1:

First, we write 0.87822 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!

0.87822/1

  =  

0.87822 x 100000/1 x 100000

  =  

87822/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 87822 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 87822 are: 1  2  3  6  7  9  14  17  18  21  34  41  42  51  63  82  102  119  123  126  153  238  246  287  306  357  369  574  697  714  738  861  1071  1394  1722  2091  2142  2583  4182  4879  5166  6273  9758  12546  14637  29274  43911  87822 
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 87822 and 100000 that gives us a GCF value of: 2

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.

87822/100000

  =  

87822 ÷ 2/100000 ÷ 2

  =  

43911/50000

Good work! We have just walked through the steps on how to represent 0.87822 as a fraction.