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goldfiish [28.3K]
3 years ago
14

Write greatest unit fractions that are repeating decimals. Then express each fraction as a decimal.

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0
Our repeating decimal would be= 0.5555….
Let’s give 0.5555….. repeating decimal a variable of x:
x= 0.5555…. or 0.5(move 1 point to the right)
So ,10x = 5.5555 or 5.5

Now, Let’s do subtraction:
10x = 5.5555… or 5.5  
<u>-   x =  0.5555… or 0.5</u>
 9x  = 5.0            or 5.0

To get a fraction, provide a denominator the same with the numerator of variable x which is 9. Then divide the difference:
<span><u>9x</u> = <u>5.0</u>  
9        9</span> <span> <span><span> <span> <span>Therefore, x = <u>5
</u>                                     9</span> </span> </span> </span></span>


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Step-by-step explanation:

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consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

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