What is 2.52672 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 2.52672 into a fraction.

Answer: 2.52672 as a fraction equals 252672/100000 or 7896/3125

Here is the solution for converting 2.52672 to a fraction:

Step 1:

First, we write 2.52672 as  
2.52672/1

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!
2.52672/1
  =  
2.52672 x 100000/1 x 100000
  =  
252672/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 252672 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 252672 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  32  42  47  48  56  64  84  94  96  112  128  141  168  188  192  224  256  282  329  336  376  384  448  564  658  672  752  768  896  987  1128  1316  1344  1504  1792  1974  2256  2632  2688  3008  3948  4512  5264  5376  6016  7896  9024  10528  12032  15792  18048  21056  31584  36096  42112  63168  84224  126336  252672 
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 252672 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.
252672/100000
  =  
252672 ÷ 32/100000 ÷ 32
  =  
7896/3125


Good work! We have just walked through the steps on how to represent 2.52672 as a fraction.

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