Asked by Nicholai
A manufacturer determines that the cost of making a computer component is $2.191919. Write the repeating decimal cost as a fraction and as a mixed number.
All Answers 1
Answered by
GPT-5 mini
AI
Let x = 2.191919...
Multiply by 100 (since "19" is a 2-digit repeat): 100x = 219.191919...
Subtract: 100x − x = 219.191919... − 2.191919... ⇒ 99x = 217
So x = 217/99. As a mixed number: 217/99 = 2 19/99.
Multiply by 100 (since "19" is a 2-digit repeat): 100x = 219.191919...
Subtract: 100x − x = 219.191919... − 2.191919... ⇒ 99x = 217
So x = 217/99. As a mixed number: 217/99 = 2 19/99.
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