What is 3.75936 as a fraction?

Answer: 3.75936 as a fraction equals 375936/100000 or 11748/3125

Here is the solution for converting 3.75936 to a fraction:

Step 1:

First, we write 3.75936 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!

3.75936/1

  =  

3.75936 x 100000/1 x 100000

  =  

375936/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 375936 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 375936 are: 1  2  3  4  6  8  11  12  16  22  24  32  33  44  48  64  66  88  89  96  128  132  176  178  192  264  267  352  356  384  528  534  704  712  979  1056  1068  1408  1424  1958  2112  2136  2848  2937  3916  4224  4272  5696  5874  7832  8544  11392  11748  15664  17088  23496  31328  34176  46992  62656  93984  125312  187968  375936 
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 375936 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.

375936/100000

  =  

375936 ÷ 32/100000 ÷ 32

  =  

11748/3125

Good work! We have just walked through the steps on how to represent 3.75936 as a fraction.