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A manufacturer determines that the cost of making a computer component is $2.161616. Write the cost as a fraction and as a mixed number. PLEASEEEE HELP ME IM SO CONFUSED ASAP!!!!

Respuesta :

[tex]\bf 2.16161616\overline{16}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \textit{let's say }x=2.16161616\overline{16}\impliedby \begin{array}{llll} \textit{now, let's multiply it by a power}\\ \textit{of 10, so the repetitive part is at}\\ \textit{the left-side, thus 100} \end{array} \\\\\\ \begin{array}{llll} 100\cdot 2.16161616\overline{16}\implies 216.161616\overline{16}&\implies 214+2.161616\overline{16}\\ \qquad \qquad \uparrow &\qquad \qquad \uparrow \\ \qquad 100\cdot x&\qquad \quad 214+x \end{array}[/tex]

[tex]\bf 100x=214+x\implies 100x-x=214\implies 99x=214 \\\\\\ x=\cfrac{214}{99}\implies x=2\frac{16}{99}[/tex]
okpalawalter8

We have that  the cost as a fraction and as a mixed number

[tex]\frac{54}{25}\\\\2\frac{4}{25}[/tex]

From the question we are told that

3.242424... as a mixed number.

Generally the equation for the Mixed number  is mathematically given as

a\frac{b}{c}

Therefore

[tex]2.161616=\frac{54}{25}[/tex]

Generally 3.242424... as a mixed number is

[tex]\frac{54}{25}=2\frac{4}{25}\\\\a\frac{b}{c}=2\frac{4}{25}[/tex]

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