What is 2.79552 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 2.79552 into a fraction.

Answer: 2.79552 as a fraction equals 279552/100000 or 8736/3125

Here is the solution for converting 2.79552 to a fraction:

Step 1:

First, we write 2.79552 as  
2.79552/1

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!
2.79552/1
  =  
2.79552 x 100000/1 x 100000
  =  
279552/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 279552 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 279552 are: 1  2  3  4  6  7  8  12  13  14  16  21  24  26  28  32  39  42  48  52  56  64  78  84  91  96  104  112  128  156  168  182  192  208  224  256  273  312  336  364  384  416  448  512  546  624  672  728  768  832  896  1024  1092  1248  1344  1456  1536  1664  1792  2184  2496  2688  2912  3072  3328  3584  4368  4992  5376  5824  6656  7168  8736  9984  10752  11648  13312  17472  19968  21504  23296  34944  39936  46592  69888  93184  139776  279552 
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 279552 and 100000 that gives us a GCF value of: 32

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.
279552/100000
  =  
279552 ÷ 32/100000 ÷ 32
  =  
8736/3125


Good work! We have just walked through the steps on how to represent 2.79552 as a fraction.

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