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Nata [24]
3 years ago
5

Simplify ( I dont have a calculator-.-)

Mathematics
2 answers:
Lerok [7]3 years ago
7 0

let's firstly convert the mixed fractions to improper fractions, and then do the division.


\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{mixed}{1\frac{1}{8}}\implies \cfrac{1\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{9}{8}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{11}{4}~~}{\frac{9}{8}}\implies \cfrac{11}{4}\cdot \cfrac{8}{9}\implies \cfrac{11}{9}\cdot \cfrac{8}{4}\implies \cfrac{11}{9}\cdot 2\implies \cfrac{22}{9}\implies 2\frac{4}{9}

notsponge [240]3 years ago
5 0

The answer is 2 4/9.

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Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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So

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(b) cannot be repeated:

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Two digits, from a set of 10. So

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1,404,000 different plates possible.

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