Question

JA manufacturer determines that the cost of making a computer component is ​$3.161616. Write the repeating decimal cost as a fraction and as a mixed number.

Answer 1

The repeating decimal cost

a) As a fraction = $
`(3161616)/(1000000)`

b) As a mixed number = $
`3(161616)/(1000000)`

Explanation:

The cost of making a computer component

= $3.161616

= $ 3 + 0.161616

Looking at the repeating decimal it is in 6 decimal places, hence to convert it to a fraction,

0.161616/ 1000000 × 1000000

= 161616/1000000

Therefore, the cost of making the computer component =

$3 + $161616/1000000

Step 1

We convert to a fraction

$3 + $161616/1000000

We find the LCM = 1000000

($3 × 1000000)+ ($161616× 1)/1000000

3000000 + 161616/1000000

= $ (3161616/1000000)

As a Mixed number =
`3(161616)/(1000000)`