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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?
• 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
• i get it but how would u do a mixed number?
• 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.
• how do we put this into percent?
• 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!
• 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.
• 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!
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I keep a hundred racks inside my jeans
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Now a n can't answer calls 'cause I'm ballin'
I was wakin' up gettin' racks in the mornin'
• so what if you have a number like pi over another
• 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.
• how many zeros we must add to the 7
• 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!
• How can you memorize the multiplication tables?
• 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.
• can you do dividing with frations
• Yes, it's also the same thing as multiplying by the reciprocal.