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Anarel [89]
3 years ago
14

Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

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Answer:

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Step-by-step explanation:

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Answer:

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2 years ago
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Troyanec [42]

Answer:

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Step-by-step explanation:

counting by 11:

11 22 33 44 55 66 77 88 99 110 121 132 143 <em><u>154</u></em>

11 × 14 = 154

counting by 14:

14 28 42 56 70 84 98 112 126 140 <em><u>154</u></em>

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3 years ago
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insens350 [35]

Answer:

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Step-by-step explanation:

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-------------------  = ----------------------

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Using cross products

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Divide each side by 45

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Step-by-step explanation:

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