What is 3.61472 as a fraction?

Answer: 3.61472 as a fraction equals 361472/100000 or 11296/3125

Here is the solution for converting 3.61472 to a fraction:

Step 1:

First, we write 3.61472 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!

3.61472/1

  =  

3.61472 x 100000/1 x 100000

  =  

361472/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 361472 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 361472 are: 1  2  4  8  16  32  64  128  256  353  512  706  1024  1412  2824  5648  11296  22592  45184  90368  180736  361472 
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 361472 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.

361472/100000

  =  

361472 ÷ 32/100000 ÷ 32

  =  

11296/3125

Good work! We have just walked through the steps on how to represent 3.61472 as a fraction.