What is 3.75314 as a fraction?

Answer: 3.75314 as a fraction equals 375314/100000 or 187657/50000

Here is the solution for converting 3.75314 to a fraction:

Step 1:

First, we write 3.75314 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!

3.75314/1

  =  

3.75314 x 100000/1 x 100000

  =  

375314/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 375314 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 375314 are: 1  2  23  41  46  82  199  398  943  1886  4577  8159  9154  16318  187657  375314 
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 375314 and 100000 that gives us a GCF value of: 2

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.

375314/100000

  =  

375314 ÷ 2/100000 ÷ 2

  =  

187657/50000

Good work! We have just walked through the steps on how to represent 3.75314 as a fraction.