Main content

### Course: Algebra basics > Unit 1

Lesson 7: Decimals, fractions and percentages- The meaning of percent
- Meaning of 109%
- Intro to percents
- Percents from fraction models
- Percents from fraction models
- Fraction, decimal, and percent from visual model
- Relate fractions, decimals, and percents
- Worked example: Converting a fraction (7/8) to a decimal
- Fraction to decimal with rounding
- Converting fractions to decimals
- Rewriting decimals as fractions: 0.36
- Converting decimals to fractions 2 (ex 1)
- Write decimals as fractions
- Finding a percent
- Percent of a whole number
- Finding percents
- Percent word problem: guavas
- Percent word problem: recycling cans
- Percent word problems

© 2024 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# 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.

## Want to join the conversation?

- So, How about there is a number in ones place. like 5.245. Do we also need to take or write down 5245/1000? Or just 245/1000? Which is correct?(8 votes)
- If there is a number in ones place, like 5.245, we have to write it in fraction as 5245/1000. 245/1000 is incorrect.(5 votes)

- What is a MIXED NUMBER!? And how do you right down 15.16 as a MIXED NUMBER!?(3 votes)
- By writing it like 15 16/100. The way you do this is keep the whole numbers whole numbers and turn the decimals into fractions(7 votes)

- So in prime numbers, you just leave the numbers as it is? Can't you possibly do something to simplify it?(3 votes)
- nope, because prime number can only be divided by itself (or 1)(5 votes)

- Are there exercises that I can use to test how much of the material I have learned?(3 votes)
- If you mean from this video then: https://www.khanacademy.org/math/algebra-basics/basic-alg-foundations/alg-basics-decimals/e/converting_decimals_to_fractions_1

but if you meant the whole course then you can do the course challenge.(1 vote)

- Is there any kinda way to keep this stuff in our heads, or anything that would require us to use it outside of tests and schooling? Cause it'd be nice to not have to go through this stuff repeatedly, know what I mean?(4 votes)
- i am new here i need help i really need help i am confuse.(3 votes)
- convert 1.528 to fraction(3 votes)
- 1528/1000 and if it is simplified 166/125(2 votes)

- Can someone please help Me? I'm having a bad time at this.(1 vote)
- What is you need help with?

If you ask clear, specific questions about what you need help with someone can help you.(5 votes)

- what if it asks "turn 0.3240 into a mixed number" What is a mixed number(2 votes)
- a mixed number is when you convert an improper fraction, say 21/10 and take out as many whole numbers as possible, for this one there are 2 10's in 21 but there's 1 leftover so the mixed number we will get is 2 1/10 which is literally, 2 and 1/10'ths(2 votes)

- what Is the simplest form fraction from decimal .625(1 vote)
- The simplest fraction from the number 0.625 would be 5/8(4 votes)

## 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.