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

Answer 1

Actually Maddie1261, it can be converted into an improper fraction and/or mixed number.

Steps:

1. Set the decimal to "x". x
   `x=.161616` (It makes it much easier to leave the 2 out for now.)
2. Multiply the whole equation by the place value.
   `(100)x=.161616(100)` (I multiplied it by 100 because the first 6 is in the hundredths.
3. Simplify.
   `100x=16.161616`
4. Subtract equations.
   `100x-x=99x` &
   `16.161616-.161616=16`
5. Solve.
   `(99x)/(99)=(16)/(99)` (The
   `(99x)/(99)` crosses out, because
   `99x-99=1x=x`.)
6. 
   `x=16/99`

Since you now have the fraction form of .161616, you can add the 2. So, the improper fraction form of 2.161616 is
`(214)/(99)`, and the mixed number form is
`2(16)/(99)`.