3 years ago

C1700

Mathematics

1 answer:

solmaris [256]3 years ago

7 0

Answer:

dnxjtsjtsctjs j tsjtcsjctsctsjtcjs

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Write $\frac{99}{100}\cdot(0.\overline{4})$ as a fully simplified fraction.

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Answer:

$\frac{11}{25}$

Explanation:

The expression that must be rewritten as a fully simplified fraction is:

$\frac{99}{100}\cdot(0.\overline{4})$

You must, first, convert $0.\overline{4}$ as a fraction.

The line over the decimal 4 means that the digit 4 repeats indefinetly.

To find the fraction that represents this number you follow this procedure:

$F=0.\overline 4\\ \\ 10F=4.\overline 4\\ \\ 10F-F=4\\ \\ 9F=4\\ \\ F=4/9$

Now, you can mutiply both fractions:

$\frac{99}{100}.\frac{4}{9}=\frac{99\times 4}{100\times9}=\frac{11}{25}$

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