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## 7th grade

### Unit 3: Lesson 1

Converting fractions to decimals- Fractions, decimals, & percentages FAQ
- Rewriting decimals as fractions: 2.75
- Write decimals as fractions
- Rewriting decimals as fractions challenge
- Worked example: Converting a fraction (7/8) to a decimal
- Fraction to decimal: 11/25
- Fraction to decimal with rounding
- Converting fractions to decimals

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# Worked example: Converting a fraction (7/8) to a decimal

Learn how to write the fraction, 7/8 as a decimal. Created by Sal Khan and Monterey Institute for Technology and Education.

## Want to join the conversation?

- Video is great but how do you know what exact numbers to submit as your answer after the decimal point for the practice segment? Example 7/30 = 0.233333333... but they only took 0.233 as the answer. Could someone please clarify?(220 votes)
- it depends on how are you going to round it off.

for example, the answer should be rounded off to the nearest thousandths then the answer will be 0.233

but if it said round it of to the nearest hundredths then it will be .23(177 votes)

- i get it but how would u do a mixed number?(35 votes)
- A mixed number is just the same like other fractions, only that the 'whole number' before the fraction is put before the comma. For instance, now he used the example 7/8 = 0.875. If you have a mixed number like 2 7/8, the answer will be 2.875 etc.(81 votes)

- how do we put this into percent?(9 votes)
- You can turn any decimal into a
**percent**- just multiply the decimal x 100!

For example:

0.90 (*decimal*)

0.90 x 100 = 90

= 90%

0.25 (*decimal*)

0.25 x 100 = 25

= 25%

0.386 (*decimal*)

0.386 x 100 = 38.6

= 38.6%

Hope this helps!(32 votes)

- What if the question was convert 0.9999999...... to a fraction. It gives the answer answer as 1. Why is it coming like this. How is that even possible.(7 votes)
- Interesting question! Consider the difference 1-0.9999999...... . Clearly this difference is greater than or equal to 0, but less than
**every**decimal in the**infinite**sequence 0.1, 0.01, 0.001, 0.0001, ... . The only real number that meets all the conditions in the previous sentence is 0. So, in the real number system, the difference 1-0.9999999...... is 0. Therefore 0.9999999...... equals 1 in the real number system!(10 votes)

- how many zeros we must add to the 7(9 votes)
- You can add as many as you like to begin with, because zero is just that - nothing. It doesn't matter how many you add, it doesn't change the value.

However, it's sensible to only add as many zeroes as you need, otherwise your working could look messy with a string of zeroes that you might**not**need.

That's why the best approach, during the long division process, is to add them one at a time. Each time there is a remainder, you add another zero (you don't actually have to write it in up there, but it helps to keep everything in its correct place) and do your division then subtraction again.

When no remainder is left, you can stop - no further zeroes are needed and you will have your answer. That is unless your answer is a repeating decimal, in which case you need to be able to recognise that else you will be calculating forever!(1 vote)

- so what if you have a number like pi over another(7 votes)
- Do you mean like π/x (x is any digit)?

Normally when we want to do it simple we just leave it like this mainly because pi is irrational and the decimal places are almost infinite.

If you want to get an approximate answer you will need a calculator.(3 votes)

- How can you memorize the multiplication tables?(4 votes)
- Practice, practice and more practice.

Start by skip counting: 5, 10, 15, 20, etc.

Then, start working on more random multiplication. Like what is 5x9?

You don't have to do every thing at once. Start with the smaller values and work your way up. If you have a friend who also wants to memorize the tables, you can quiz each other.(5 votes)

- can you do dividing with frations(3 votes)
- Yes, it's also the same thing as multiplying by the reciprocal.(6 votes)

- how do you know where to put the decimal at?(6 votes)
- Before you do the problem,

or divide you place the decimal on top where ever you put

it when making a decimal.

Any More Help Just Ask Sir :)

~Dassh(3 votes)

- Is there another method that i can use for this?(3 votes)
- Sometimes, then you see that multiplying denominator by some number produces power of 10, i.e. 10, 100, 1000 so on, you can multiply numerator and denominator by that number and division gets easy. Say, you want to convert 11/20. You know that 20*5=100. then: 11*5/20*5= 55/100=0.55. For proper fractions, you can simply write multiplied numerator after "0."(5 votes)

## Video transcript

Write 7/8 as a decimal. And so the main
realization here is that 7/8 is the same
thing as 7 divided by 8, which is the same thing
as 7 divided by 8. These are all different ways
of writing the same thing. So let's actually
divide 8 into 7. And I'll do it down here just
so I have some more real estate to work with. I'm going to divide 8 into 7. And I'm going to add
a decimal point here, just because we know
that this value is going to be less than 1. 7/8 is less than 1. We're going to have
some digits to the right of the decimal point. And let me put the decimal
point right up here, right above the
decimal point in 7. And then we start dividing. And now this really turns
into a long division problem. And we just have to make sure we
keep track of the decimal sign. So 8 goes into-- it
doesn't go into 7 at all, but it does go into 70. So 8 goes into 70 eight times. So it goes into 70 eight times. 8 times 8 is 64. And then you subtract. 70 minus 64 is 6. And then bring down
another 0 because we still have a remainder. We want to get to the point
that we have no remainders. Assuming that this thing
doesn't repeat forever. And there's other ways
we can deal with that. 8 goes into 60? Well, let's see. It doesn't go into it eight
times because that's 64. 8 goes into 60 seven times. 7 times 8 is 56. And then we subtract again. 60 minus 56 is 4. And now, we can bring down
another 0 right over here. And 8 goes into 40? Well, it goes into 40
exactly five times. 5 times 8 is 40. And we have nothing. We have nothing left over. And so we're done. 7 divided by 8 or 7/8 is
equal to 7 divided by 8, which is equal to 0.875. But I'll put a leading 0 here
just so it makes it clear that this is where
the decimal is. 0.875. And we are done.