Question

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!!!!

Answer 1

Answer:

The cost in a fraction is $\ \frac{135,101}{62,500}$.

The cost in a mixed number is $2\frac{10101}{62500}$.

Step-by-step explanation:

Cost of making a computer component  = $2.161616

$2.161616=\frac{2161616}{1,000,000}$

Divide the whole equation from 4 until or unless you get number indivisible by 4 in numerator or in denominator

$=\frac{135,101}{62,500}$

Divide the numerator by denominator:

$Quotient\frac{Remainder}{Divisor}$

$2\frac{10101}{62500}$

Cost of making a computer component in fraction :

= $\ \frac{135,101}{62,500}$

Cost of making a computer component in mixed number:

= $\ 2\frac{10101}{62500}$

Answer 2

$\bf 2.16161616\overline{16}\\\\ -------------------------------$

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

$\bf 100x=214+x\implies 100x-x=214\implies 99x=214 \\\\\\ x=\cfrac{214}{99}\implies x=2\frac{16}{99}$