# How to Change a Factor Into a Decimal

## Transcript

How to change a factor into a decimal. I'm Bon Crowder with MathFour.com and we're talking about changing a fraction into a decimal. Here we have the fraction 5/12 and we want it to be a decimal. Well what 5/12 really means is 5 divided by 12. So in order to change it to a decimal, I have to divide 12 into 5 and I put a decimal and all the 0s that I could possibly want on the end of that. So I'll put a few and maybe we'll knock them off at the end if we don't need them. So 12 goes into 5, 12 goes into 50 four times, 4 x 12 is 48, subtract, bring down the 0, 12 goes into 20 one time, that's 12, subtract, that's 8, bring down the 0, 12 goes into 80 six times, 12 x 6 is 72, there's another 8, bring down the 0, 12 goes into 80 six times again, I see a pattern emerging and so on. So my decimal here is .416 and the 6 goes on forever. So this is how you change a fraction into a decimal. I'm Bon Crowder with Mathfour.com. Have fun.