What is 4.40496 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 4.40496 into a fraction.

Answer: 4.40496 as a fraction equals 440496/100000 or 27531/6250

Here is the solution for converting 4.40496 to a fraction:

Step 1:

First, we write 4.40496 as  
4.40496/1

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!
4.40496/1
  =  
4.40496 x 100000/1 x 100000
  =  
440496/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 440496 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 440496 are: 1  2  3  4  6  7  8  9  12  14  16  18  19  21  23  24  28  36  38  42  46  48  56  57  63  69  72  76  84  92  112  114  126  133  138  144  152  161  168  171  184  207  228  252  266  276  304  322  336  342  368  399  414  437  456  483  504  532  552  644  684  798  828  874  912  966  1008  1064  1104  1197  1288  1311  1368  1449  1596  1656  1748  1932  2128  2394  2576  2622  2736  2898  3059  3192  3312  3496  3864  3933  4788  5244  5796  6118  6384  6992  7728  7866  9177  9576  10488  11592  12236  15732  18354  19152  20976  23184  24472  27531  31464  36708  48944  55062  62928  73416  110124  146832  220248  440496 
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 440496 and 100000 that gives us a GCF value of: 16

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.
440496/100000
  =  
440496 ÷ 16/100000 ÷ 16
  =  
27531/6250


Good work! We have just walked through the steps on how to represent 4.40496 as a fraction.

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