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VladimirAG [237]
3 years ago
12

What is 8.8 percent as a fraction in simplest form

Mathematics
2 answers:
enot [183]3 years ago
7 0
The answer is 8 8/10
Ludmilka [50]3 years ago
6 0
Let's convert 8.8% into a decimal by moving the decimal point two places to the left.

8.8% = .088

.088 expressed as a fraction is 11/125. You can prove this by actually dividing the fraction.
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We use binomial expansion for (x+h)^{\frac{1}{2}}

This can be rewritten as

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From the expansion

(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots

Setting x=\dfrac{h}{x} and n=\frac{1}{2},

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Multiplying by x^{\frac{1}{2}},

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The limit of this as h\to 0 is

\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}} (since all the other terms involve h and vanish to 0.)

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