## Answer: 0.65 as a fraction equals 65/100 or 13/20

Here is the solution for converting 0.65 to a fraction:

**Step 1:**

First, we write 0.65 as

0.65/1

**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!

0.65/1

= 0.65 x 100/1 x 100

= 65/100

**Step 3:**

Next, we find the Greatest Common Factor (GCF) for 65 and 100. A factor is a number that divides into another number without any remainder.

The factors of 65 are: 1 5 13 65

The factors of 100 are: 1 2 4 5 10 20 25 50 100

So for 65 and 100 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.

65/100

= 65 ÷ 5/100 ÷ 5

= 13/20

Good work! We have just walked through the steps on how to represent 0.65 as a fraction.