What is 2.76012 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 2.76012 into a fraction.

Answer: 2.76012 as a fraction equals 276012/100000 or 69003/25000

Here is the solution for converting 2.76012 to a fraction:

Step 1:

First, we write 2.76012 as  
2.76012/1

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!
2.76012/1
  =  
2.76012 x 100000/1 x 100000
  =  
276012/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 276012 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 276012 are: 1  2  3  4  6  9  11  12  17  18  22  33  34  36  41  44  51  66  68  82  99  102  123  132  153  164  187  198  204  246  306  369  374  396  451  492  561  612  697  738  748  902  1122  1353  1394  1476  1683  1804  2091  2244  2706  2788  3366  4059  4182  5412  6273  6732  7667  8118  8364  12546  15334  16236  23001  25092  30668  46002  69003  92004  138006  276012 
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 276012 and 100000 that gives us a GCF value of: 4

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.
276012/100000
  =  
276012 ÷ 4/100000 ÷ 4
  =  
69003/25000


Good work! We have just walked through the steps on how to represent 2.76012 as a fraction.

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