A manufacturer determines that the cost of making a computer component is $4.191919. Write the repeating decimal cost as a frac

Question

4 years ago

11

tion and as a mixed number.

1 answer:

tankabanditka [31] · Answer 1 · 2021-12-08T21:41:24+03:00

3 0

Let $x=4.191919\ldots$ . Then $100x=419.191919\ldots$ . So

$100x-x=99x=415$

$\implies x=\dfrac{415}{99}=4+\dfrac{19}{99}$

A manufacturer determines that the cost of making a computer component is ​$4.191919. Write the repeating decimal cost as a frac