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

Answer:

The repeating decimal cost

a) As a fraction = $$\frac{3161616}{1000000}$

b) As a mixed number = $ $3\frac{161616}{1000000}$

Step-by-step 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 = $3\frac{161616}{1000000}$