What is 2.9736 as a fraction?

Answer: 2.9736 as a fraction equals 29736/10000 or 3717/1250

Here is the solution for converting 2.9736 to a fraction:

Step 1:

First, we write 2.9736 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!

2.9736/1

  =  

2.9736 x 10000/1 x 10000

  =  

29736/10000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 29736 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 29736 are: 1  2  3  4  6  7  8  9  12  14  18  21  24  28  36  42  56  59  63  72  84  118  126  168  177  236  252  354  413  472  504  531  708  826  1062  1239  1416  1652  2124  2478  3304  3717  4248  4956  7434  9912  14868  29736 
The factors of 10000 are: 1  2  4  5  8  10  16  20  25  40  50  80  100  125  200  250  400  500  625  1000  1250  2000  2500  5000  10000 
So for 29736 and 10000 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.

29736/10000

  =  

29736 ÷ 8/10000 ÷ 8

  =  

3717/1250

Good work! We have just walked through the steps on how to represent 2.9736 as a fraction.