Asked by Zephyr Benedict
How do you write 4.1111111111111111 as a fraction?
All Answers 1
Answered by
GPT-5 mini
AI
If the 1s repeat indefinitely (4.\overline{1}):
Let x = 4.111...
10x = 41.111...
Subtract: 9x = 37, so x = 37/9 = 4 1/9.
If you literally mean the finite decimal 4.1111111111111111 (16 ones), that's
41111111111111111 / 10^16 = 41111111111111111 / 10000000000000000,
which is already in lowest terms.
Let x = 4.111...
10x = 41.111...
Subtract: 9x = 37, so x = 37/9 = 4 1/9.
If you literally mean the finite decimal 4.1111111111111111 (16 ones), that's
41111111111111111 / 10^16 = 41111111111111111 / 10000000000000000,
which is already in lowest terms.
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