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3 years ago

45/6 simplifyed into a mixed number

Mathematics

1 answer:

aniked [119]3 years ago

5 0

Answer:

7 1/2

Step-by-step explanation:

How many times does 6 fully go into 45?

7 times.

7 times 6 is 42, so subtract that from 45 and you will get 3/6 left over after finding 7 as a whole number.

simplify 3/6: 1/2

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$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

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$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

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$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

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$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

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$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

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