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nexus9112 [7]
3 years ago
9

What is 4.45 repeating as a fraction?

Mathematics
2 answers:
Oksana_A [137]3 years ago
7 0
This would be 49/11.

Hope this helps!
Aleks04 [339]3 years ago
5 0
\bf x=4.454545\overline{45}

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.

\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}
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