What is 2.20248 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 2.20248 into a fraction.

Answer: 2.20248 as a fraction equals 220248/100000 or 27531/12500

Here is the solution for converting 2.20248 to a fraction:

Step 1:

First, we write 2.20248 as  
2.20248/1

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!
2.20248/1
  =  
2.20248 x 100000/1 x 100000
  =  
220248/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 220248 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 220248 are: 1  2  3  4  6  7  8  9  12  14  18  19  21  23  24  28  36  38  42  46  56  57  63  69  72  76  84  92  114  126  133  138  152  161  168  171  184  207  228  252  266  276  322  342  399  414  437  456  483  504  532  552  644  684  798  828  874  966  1064  1197  1288  1311  1368  1449  1596  1656  1748  1932  2394  2622  2898  3059  3192  3496  3864  3933  4788  5244  5796  6118  7866  9177  9576  10488  11592  12236  15732  18354  24472  27531  31464  36708  55062  73416  110124  220248 
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 220248 and 100000 that gives us a GCF value of: 8

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.
220248/100000
  =  
220248 ÷ 8/100000 ÷ 8
  =  
27531/12500


Good work! We have just walked through the steps on how to represent 2.20248 as a fraction.

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