## Answer: 0.5008 as a fraction equals 5008/10000 or 313/625

Here is the solution for converting 0.5008 to a fraction:

**Step 1:**

First, we write 0.5008 as

0.5008/1

**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!

0.5008/1

= 0.5008 x 10000/1 x 10000

= 5008/10000

**Step 3:**

Next, we find the Greatest Common Factor (GCF) for 5008 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 5008 are: 1 2 4 8 16 313 626 1252 2504 5008

The factors of 10000 are: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000

So for 5008 and 10000 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.

5008/10000

= 5008 ÷ 16/10000 ÷ 16

= 313/625

Good work! We have just walked through the steps on how to represent 0.5008 as a fraction.