Question

A manufacturer determines that the cost of making a computer component is4.161616 ​$. Write the repeating decimal cost as a fraction and as a mixed number.

Answer 1

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$
`4(10101)/(62500)`

Explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number =
`$4(10101)/(62500)`