i need help this is the question.
A manufacturer determines that the cost of making a computer component is ​$.3.191919 Write the repeating decimal cost as a fraction and as a mixed number.

Respuesta :

Let x = 3.191919…. Then 100x = 319.191919…, and we have

100x - x = 319.191919… - 3.191919…

99x = 316

x = 316/99

Next, we have

316 = 297 + 19 = 3 × 99 + 19

so

316/99 = (3 × 99 + 19)/99 = 3 + 19/99