## Answer: 0.046 as a fraction equals 46/1000 or 23/500

Here is the solution for converting 0.046 to a fraction:

**Step 1:**

First, we write 0.046 as

0.046/1

**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!

0.046/1

= 0.046 x 1000/1 x 1000

= 46/1000

**Step 3:**

Next, we find the Greatest Common Factor (GCF) for 46 and 1000. A factor is a number that divides into another number without any remainder.

The factors of 46 are: 1 2 23 46

The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000

So for 46 and 1000 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.

46/1000

= 46 ÷ 2/1000 ÷ 2

= 23/500

Good work! We have just walked through the steps on how to represent 0.046 as a fraction.