What is 3.77872 as a fraction?

Answer: 3.77872 as a fraction equals 377872/100000 or 23617/6250

Here is the solution for converting 3.77872 to a fraction:

Step 1:

First, we write 3.77872 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!

3.77872/1

  =  

3.77872 x 100000/1 x 100000

  =  

377872/100000

Step 3:

Next, we find the Greatest Common Factor (GCF) for 377872 and 100000. A factor is a number that divides into another number without any remainder.

The factors of 377872 are: 1  2  4  8  11  16  19  22  38  44  76  88  113  152  176  209  226  304  418  452  836  904  1243  1672  1808  2147  2486  3344  4294  4972  8588  9944  17176  19888  23617  34352  47234  94468  188936  377872 
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 377872 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.

377872/100000

  =  

377872 ÷ 16/100000 ÷ 16

  =  

23617/6250

Good work! We have just walked through the steps on how to represent 3.77872 as a fraction.