Answer: 0.14638 as a fraction equals 14638/100000 or 7319/50000
Here is the solution for converting 0.14638 to a fraction:
Step 1:First, we write 0.14638 as
0.14638/1
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!
0.14638/1
= 0.14638 x 100000/1 x 100000
= 14638/100000
Step 3:Next, we find the Greatest Common Factor (GCF) for 14638 and 100000. A factor is a number that divides into another number without any remainder.
The factors of 14638 are: 1 2 13 26 563 1126 7319 14638
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 14638 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.
14638/100000
= 14638 ÷ 2/100000 ÷ 2
= 7319/50000