What is 0.35952 as a fraction?

Answer: 0.35952 as a fraction equals 35952/100000 or 2247/6250

Here is the solution for converting 0.35952 to a fraction:

Step 1:

First, we write 0.35952 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!

0.35952/1

  =  

0.35952 x 100000/1 x 100000

  =  

35952/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 35952 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 35952 are: 1  2  3  4  6  7  8  12  14  16  21  24  28  42  48  56  84  107  112  168  214  321  336  428  642  749  856  1284  1498  1712  2247  2568  2996  4494  5136  5992  8988  11984  17976  35952 
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 35952 and 100000 that gives us a GCF value of: 16

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.

35952/100000

  =  

35952 ÷ 16/100000 ÷ 16

  =  

2247/6250

Good work! We have just walked through the steps on how to represent 0.35952 as a fraction.