What is 2.42784 as a fraction?

Answer: 2.42784 as a fraction equals 242784/100000 or 7587/3125

Here is the solution for converting 2.42784 to a fraction:

Step 1:

First, we write 2.42784 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!

2.42784/1

  =  

2.42784 x 100000/1 x 100000

  =  

242784/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 242784 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 242784 are: 1  2  3  4  6  8  9  12  16  18  24  27  32  36  48  54  72  96  108  144  216  281  288  432  562  843  864  1124  1686  2248  2529  3372  4496  5058  6744  7587  8992  10116  13488  15174  20232  26976  30348  40464  60696  80928  121392  242784 
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 242784 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.

242784/100000

  =  

242784 ÷ 32/100000 ÷ 32

  =  

7587/3125

Good work! We have just walked through the steps on how to represent 2.42784 as a fraction.