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hram777 [196]
2 years ago
13

Express 0.484848..... in p/q form​

Mathematics
1 answer:
cupoosta [38]2 years ago
7 0
<h3>Answer:  16/33</h3>

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

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Question 696338: Please I need help solving an algebra: solving proportions
CHARITY Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of much of a $100-allowance will he give to a charity?
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Answer by stanbon(74715) About Me (Show Source):
You can put this solution on YOUR website!
Karthik spent $35 of his allowance and gave $5 to a charity. If the number of dollars he spends is proportional to the number of dollars he gives to charitt, how much of a $100-allowance will he give to a charity?
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x/100 = 5/35
----
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3 years ago
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