What is 2.75625 as a fraction?

Answer: 2.75625 as a fraction equals 275625/100000 or 441/160

Here is the solution for converting 2.75625 to a fraction:

Step 1:

First, we write 2.75625 as  

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!

2.75625/1

  =  

2.75625 x 100000/1 x 100000

  =  

275625/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 275625 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 275625 are: 1  3  5  7  9  15  21  25  35  45  49  63  75  105  125  147  175  225  245  315  375  441  525  625  735  875  1125  1225  1575  1875  2205  2625  3675  4375  5625  6125  7875  11025  13125  18375  30625  39375  55125  91875  275625 
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 275625 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.

275625/100000

  =  

275625 ÷ 625/100000 ÷ 625

  =  

441/160

Good work! We have just walked through the steps on how to represent 2.75625 as a fraction.