What is 2.15878 as a fraction?

Numbers can be represented in a variety of ways including percentages, decimals, and fractions. The ability to convert any number from one format to another is an important math skill to have. These skills are typically thought in fifth grade math and require an understanding of place values and Greatest Common Factor (GCF).

In this article, we teach those skills step by step while demonstrating how to convert decimal 2.15878 into a fraction.

Answer: 2.15878 as a fraction equals 215878/100000 or 107939/50000

Here is the solution for converting 2.15878 to a fraction:

Step 1:

First, we write 2.15878 as  
2.15878/1

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!
2.15878/1
  =  
2.15878 x 100000/1 x 100000
  =  
215878/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 215878 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 215878 are: 1  2  13  19  23  26  38  46  247  299  361  437  494  598  722  874  4693  5681  8303  9386  11362  16606  107939  215878 
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 215878 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.
215878/100000
  =  
215878 ÷ 2/100000 ÷ 2
  =  
107939/50000


Good work! We have just walked through the steps on how to represent 2.15878 as a fraction.

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