Changing a repeating decimal to a percent
Math
Learning how to change a repeating decimal to a percent
So we have two to three, and we need to make that into a percent. And we need to make that into a decimal. To make any fractions to a decimal, you divide the numerator by the denominator. And easier way of remembering that is called top in the box. We put the top in the box right, two or three is the same thing as two over three. So two is the top two. The numerator. Two goes into division box three equals on the outside. Three can't go into two, so put a zero, three times 6 is 18. Subtract there's a two. We know zero. Oh, and you notice that the pattern just keeps on going right forever. Just keeps on going. I'll never stop. So that's when you put a bar, okay?
Now, 6600 repeating is the same thing as 6 tenths repeating because once you have that 6 repeating, it means it would go on forever to answer hundreds, thousands, 10,000s, just going to go on forever, right? So that's our decimal. To make that into a percent, remember, percents are based off a hundred. So if you look at the hundreds place, you have two 6s. But this is not the same thing as 66 over a hundred. Because 66 over a hundred means 66 ends in the hundreds place. And if you write it like that, what's in the thousands place. A zero.
But there is not a zero in the thousands place here, right? There's a 6. So you have to add that decimal 6 with the repeating bar to show that now it does equal a repeating number. So if you put it like this, that's a different thing. Two different things. So once your denominator is a hundred, then this top is going to be your percent.