What is 2.98792 as a fraction?

Answer: 2.98792 as a fraction equals 298792/100000 or 37349/12500

Here is the solution for converting 2.98792 to a fraction:

Step 1:

First, we write 2.98792 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!

2.98792/1

  =  

2.98792 x 100000/1 x 100000

  =  

298792/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 298792 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 298792 are: 1  2  4  8  13  17  26  34  52  68  104  136  169  221  338  442  676  884  1352  1768  2197  2873  4394  5746  8788  11492  17576  22984  37349  74698  149396  298792 
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 298792 and 100000 that gives us a GCF value of: 8

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.

298792/100000

  =  

298792 ÷ 8/100000 ÷ 8

  =  

37349/12500

Good work! We have just walked through the steps on how to represent 2.98792 as a fraction.