How do you write 0.555... as a fraction

Mathematics

2 answers:

Katena32 [7]3 years ago

8 0

Its 111/1000, hope it helps

uranmaximum [27]3 years ago

5 0

Repeating fractions like this can be written as the repeating number over 9!! for example, your 0.555... would be written as 5/9. 0.222... would be written as 2/9, and so on up to the number 9 itself (meaning that that trick only words for numbers 1-8).

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Method 2
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Lets change all to the same denominators

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$

$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Step-by-step explanation: