What is 2.49375 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 2.49375 into a fraction.

Answer: 2.49375 as a fraction equals 249375/100000 or 399/160

Here is the solution for converting 2.49375 to a fraction:

Step 1:

First, we write 2.49375 as  
2.49375/1

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!
2.49375/1
  =  
2.49375 x 100000/1 x 100000
  =  
249375/100000


Step 3:

Next, we find the Greatest Common Factor (GCF) for 249375 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 249375 are: 1  3  5  7  15  19  21  25  35  57  75  95  105  125  133  175  285  375  399  475  525  625  665  875  1425  1875  1995  2375  2625  3325  4375  7125  9975  11875  13125  16625  35625  49875  83125  249375 
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 249375 and 100000 that gives us a GCF value of: 625

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.
249375/100000
  =  
249375 ÷ 625/100000 ÷ 625
  =  
399/160


Good work! We have just walked through the steps on how to represent 2.49375 as a fraction.

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