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Course: Class 6 (ICSE basics) > Unit 6
Lesson 6: Rewriting decimals as fractions- Write fractions as decimals (denominators of 10 & 100)
- Writing a number as a fraction and decimal
- Write decimals and fractions shown on grids
- Rewriting decimals as fractions: 0.15
- Rewriting decimals as fractions: 0.8
- Rewriting decimals as fractions: 0.36
- Write decimals as fractions
- Fraction to decimal: 11/25
- Worked example: Converting a fraction (7/8) to a decimal
- Rewriting tricky fractions to decimals
- Converting fractions to decimals
- Converting decimals to fractions 2 (ex 1)
- Converting decimals to fractions 2 (ex 2)
- Rewriting decimals as fractions challenge
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Converting decimals to fractions 2 (ex 2)
Created by Sal Khan.
Want to join the conversation?
- how did u get the denominator as 100 for both(7 votes)
- the decimals are in the hundreths spot,which is 1/100 of the whole(1 vote)
- can anyone help me with adding decimals.(5 votes)
- so you can convert infinite numbers into fractions, right, such as 3.3333333333333......?(3 votes)
- what you cant convert however is a non-repeating decimal that have digits that goes on forever, for example the decimal form of square root of 2, or decimal form of pi (22/7 is just approximation). In other word you cant convert irrational decimal into fraction (fraction is rational decimal)(2 votes)
- I keep getting the same questions twice in a row on the practices. Does this happen to anyone else?(3 votes)
- It might be a bug, don't worry. It happened to me too.(3 votes)
- can you make any number a fraction?(1 vote)
- yes. Any rational number can be a fraction.(5 votes)
- I am teaching 5th grade and we have not yet covered division of decimals or division with decimals. We are, however, covering 5.NBT.3 which is converting decimals to fractions. Is there a way to convert 9/50 without dividing the numerator by the denominator (since we haven't covered that yet)?(2 votes)
- Sure, at least as long as the prime factorization of the denominator is a power of 10 or the prime factorization of it only has 5s and 2s. 50 is prime factored as 2*5*5, turning the fraction into over 100 just means multiplying the numerator and denominator by 2. 18/100 is 0.18(2 votes)
- do we have to simplify it?(2 votes)
- It's always best to simplify fractions so that we don't have to deal with bigger numbers than we need to.(2 votes)
- What's the answer to the problem Sal did in the video Converting decimals to fractions 2 (ex 2) ? It's not clear.(2 votes)
- What is a mixed number?(2 votes)
- A mixed number is a combination of a whole number and a fraction.(1 vote)
- what is 6.333333333 converted to a mixed fraction ?(0 votes)
Video transcript
Let's see if we can write
12.98 as a mixed number. So the first thing you
might want to realize here is that this is the exact
same thing as 12 plus 0.98. And this simplifies it,
because then we just have to write it as 12, and
to some fraction, that's the same thing as 0.98. So if we could write
0.98 as a fraction, then we're almost done. So let's see if we can do that. So this 9 right over here
is in the tenths place. I'll just write it like that. Tenths place. And this right over here
is in the hundredths place. So you could view 0.98
two different ways. You could view it as 9/10. That's this part
right over here. 9/10 plus 8/100. And if you want to find
a common denominator that would be the same thing as
90 over 100 plus 8 over 100, which is equal to 98 over 100. And so 0.98 is 98/100. And another way you could
have said that is look, the space right over here
is in the hundredths place, and so this is 98/100 or 98/100. So you could have skipped
this right over here. So if we just wanted to
write it as a mixed number, we could just write
it as 12 and, instead of 0.98, 12 and 98/100. Now we haven't reduced
this to lowest terms yet. So let's see if we
can simplify this. 98 is divisible by
2, and so is 100. So let's divide
both of them by 2. They have that common factor. So we're going to divide
both of them by 2. And so this is the same thing as
12, and 98 divided by 2 is 49. 100 divided by 2 is 50. And I think that's about
as far as we can do. 49 factors, it's divisible
by 7, but 50 isn't, so we've put it in lowest terms. So 12.98 can be written as a
mixed number, 12 and 49/50.