What is 2.43648 as a fraction?

Answer: 2.43648 as a fraction equals 243648/100000 or 7614/3125

Here is the solution for converting 2.43648 to a fraction:

Step 1:

First, we write 2.43648 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!

2.43648/1

  =  

2.43648 x 100000/1 x 100000

  =  

243648/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 243648 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 243648 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  47  48  54  64  72  81  94  96  108  141  144  162  188  192  216  282  288  324  376  423  432  564  576  648  752  846  864  1128  1269  1296  1504  1692  1728  2256  2538  2592  3008  3384  3807  4512  5076  5184  6768  7614  9024  10152  13536  15228  20304  27072  30456  40608  60912  81216  121824  243648 
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 243648 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.

243648/100000

  =  

243648 ÷ 32/100000 ÷ 32

  =  

7614/3125

Good work! We have just walked through the steps on how to represent 2.43648 as a fraction.