Rewrite as a simplified fraction 1.6 <-- repeating=?

1 answer:

6 0

$1.6666...=1.\overline{6}=1.(6)\\\\x=1.6666...\ \ \ |multiply\ both\ sides\ by\ 10\\10x=16.6666...\\\\10x-x=16.6666...-1.6666...\\9x=15\ \ \ \ |divide\ both\ sides\ by\ 9\\\\x=\frac{15}{9}\\\\\boxed{x=1\frac{6}{9}}\\\\simplify\\\\x=1\frac{6:3}{9:3}=\boxed{1\frac{2}{3}}$

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Question 1:

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Find Slope
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Equation: y = 5x - 2
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Slope of parallel line = 5

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Insert slope into the general equation y = mx + c
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Find y-intercept
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Insert y-intercept into the equation
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Question 2:

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Find Slope
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Insert slope into the equation y = mx + c
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y = 9x + c

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Find y-intercept
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Insert y-intercept into the equation
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y = 9x + c
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