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Converting decimals to fractions 2 (ex 1)

To convert a decimal to a fraction, we need to figure out the smallest place value of the digits. In this case, the smallest place is the ten-thousandths place, so the fraction will have a denominator of 10,000. The numerator will be the decimal number without the decimal point. Then we check for common factors to simplify. Created by Sal Khan.

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Video transcript

Let's see if we can write 0.0727 as a fraction. Now, let's just think about what places these are in. This is in the tenths place. This is in the hundredths place. This 2 is in the thousandths place. And this 7 right here, this last 7, is in the ten-thousandths place. So there's a couple of ways we can do this. The way I like to think of this, this term over here is in the ten-thousandths place. We can view this whole thing right over here as 727 ten-thousandths because this is the smallest place right over here. So let's just rewrite it. This is equal to 727 over 10,000. And we've already written it as a fraction. And I think that's about as simplified as we can get. This number up here is not divisible by 2. It's not divisible by 5. In fact, it's not divisible by 3, which means it wouldn't be divisible by 6 or 9. It doesn't even seem to be divisible by 7. It might be a prime number. But I think we are done.