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# Maths year 11

1. I got one for you. Express as the ratio of two integers.
2. (Original post by Ano123)
I got one for you. Express as the ratio of two integers.
3. (Original post by RDKGames)
In the form where .
4. (Original post by Ano123)
In the form where .
Oh come on, that's not what we agreed on.
5. (Original post by Ano123)
In the form where .
? Division by 9. Can't figure out any more common divisors.
6. (Original post by RDKGames)
? Division by 9. Can't figure out any more common divisors.
The answer is . It's easier to consider the expansion of . If you make it gives you want you want,
7. Why do we multiply it by 10x or 100x ?
8. (Original post by z_o_e)
Why do we multiply it by 10x or 100x ?
For the same reason why we would multiply 0.5 by 10 while in the process of finding a fraction for it. It makes it easy to find the fraction for it before simplifying it, and it turns the right side into a whole number which is important. We can apply the same idea with 0.5 but we do not need to take anything away because we wouldn't have any repeating decimals.

and the method you're familiar with is:

which has it's similarities if you ignore the
9. (Original post by RDKGames)
For the same reason why we would multiply 0.5 by 10 while in the process of finding a fraction for it. It makes it easy to find the fraction for it before simplifying it, and it turns the right side into a whole number which is important. We can apply the same idea with 0.5 but we do not need to take anything away because we wouldn't have any repeating decimals.

and the method you're familiar with is:

which has it's similarities if you ignore the

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10. Not quite.
11. (Original post by RDKGames)
Not quite.

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12. (Original post by z_o_e)

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Because you're layout makes it confusing and nothing there adds up.

(NOT 0.58 like you shown)

try and work it from there. Think about which ones will make the decimals cancel via subtraction.
13. (Original post by RDKGames)
Because you're layout makes it confusing and nothing there adds up.

(NOT 0.58 like you shown)

try and work it from there. Think about which ones will make the decimals cancel via subtraction.

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14. That's better.
15. (Original post by RDKGames)
That's better.

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16. Yes
17. (Original post by RDKGames)
Yes
How would I do this?

Question D
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18. (Original post by z_o_e)
How would I do this?

Question D
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Well think about it and tell me. Also, you wrote down your x wrong.

means 0.245245245... where the 245's are the one's repeating; i.e. everything in the gap between the two dots.
19. (Original post by RDKGames)
Well think about it and tell me. Also, you wrote down your x wrong.

means 0.245245245... where the 245's are the one's repeating; i.e. everything in the gap between the two dots.

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20. Perfect. I think you got the hang of this now, and I doubt GCSE would often ask you to turn repeating decimals into fractions.

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