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    So I'm revising for a maths test I'll be having tomorrow at a job interview, and am revising converting fractions to decimals.

    The fraction I have is 4/7

    Now I know I need to divide the two numbers together (7 \ 4etc) but for the life of me cannot remember how to do this!

    I know when you can't divide a number you get remainders?! But really need a simple method just to go over division (short & long) been 6 years since I did my GCSE maths and it's not coming back to me!
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    This might not come out as very neat, but here goes:

    First of all, 4 can be written as 4.000000...

    Now, if we construct a tableau thingy like so:

    .. 4.000000000
    .. ----------------
    7|

    (looks neater written down, I swear). Now, we go along each number on the top in turn, and consider how many times each number goes into what we have.

    First of all, the 4. 7 goes into this 0 times, so we put a 0 under the four. However, we have a remainder of 4, which which put in front of the next 0. (to remind us). We can then put the decimal point underneath where it is in the top row.

    We then consider how many times 7 goes into 40 - the 0 with the remainder from before in front of it. It goes 5 times (5x7=35) with remainder 5. So we put a 5 under the first 0.

    Then we consider how many times it goes into 50, from the remainder and the next 0. This time it is 7, remainder 1. So a 7 under the 0, and a 1 in front of the next one.

    The process continues until either you get no remainder, or you get a number you had before, in which case it will start repeating. In this case, we get to:

    .. 4.000000000...
    .. ----------------
    7|0.571428571...

    And you can see it began to repeat at 571... again. This process can be used to divide anything by a one digit number (and it just about works for multiple digit numbers). It's not particularly clear on here, I don't think, but I hope you get the jist,
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    (Original post by Subcutaneous)
    So I'm revising for a maths test I'll be having tomorrow at a job interview, and am revising converting fractions to decimals.

    The fraction I have is 4/7

    Now I know I need to divide the two numbers together (7 \ 4etc) but for the life of me cannot remember how to do this!

    I know when you can't divide a number you get remainders?! But really need a simple method just to go over division (short & long) been 6 years since I did my GCSE maths and it's not coming back to me!
    These may help
    Division
    http://www.cimt.plymouth.ac.uk/proje...i8/bk7_8i2.htm
    Fractions to decimals
    http://www.cimt.plymouth.ac.uk/proje...7/bk7_17i2.htm
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    Divide 100 by 7 and multiply the answer by 4.

    57.14% (to 2 decimal places)

    then divide by 100 to give you 0.5714
 
 
 
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