Respuesta :

[tex]\bf x=4.454545\overline{45}[/tex]

now, let's multiply "x" by a power of 10, so that, the repeating part, ends up at the left-hand-side of the decimal point, so, in this case, we need to move 45 over to the left, so, we'll multiply "x" by 100.

[tex]\bf \begin{array}{llcll} 100\cdot x&=&445.454545\overline{45}\\ &&\uparrow \\ &&441+4.454545\overline{45}\\ &&\uparrow\\ &&441+x \end{array} \\\\\\ 100x=441+x\implies 99x=441 \implies x=\cfrac{441}{99}\implies x=\cfrac{49}{11}[/tex]
okpalawalter8

We have that 4.45 repeating as a fraction.

[tex]4.45=\frac{89}{25}[/tex]

From the question we are told that

4.45 repeating as a fraction

Generally the equation for the Mixed number  is mathematically given as

a\frac{b}{c}

Therefore

[tex]4.45=\frac{89}{25}[/tex]

Generally 4.45 repeating as a fraction is

[tex]\frac{89}{25}=3\frac{14}{25}\\\\[/tex]

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