## Answer: 0.5085 as a fraction equals 5085/10000 or 1017/2000

Here is the solution for converting 0.5085 to a fraction:

**Step 1:**

First, we write 0.5085 as

0.5085/1

**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!

0.5085/1

= 0.5085 x 10000/1 x 10000

= 5085/10000

**Step 3:**

Next, we find the Greatest Common Factor (GCF) for 5085 and 10000. A factor is a number that divides into another number without any remainder.

The factors of 5085 are: 1 3 5 9 15 45 113 339 565 1017 1695 5085

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 5085 and 10000 that gives us a GCF value of: 5

**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.

5085/10000

= 5085 ÷ 5/10000 ÷ 5

= 1017/2000

Good work! We have just walked through the steps on how to represent 0.5085 as a fraction.