Asked by Sarah
Change the decimal to a fraction: 0.1213(1 point)
Responses
121310,000
1213
10
,
000
the fraction with numerator 1213 and denominator 10 comma 000
12131,000
1
213
1
,
000
1 the fraction with numerator 213 and denominator 1 comma 000
121310
12
13
10
12 and 13 tenths
This decimal is Irrational and cannot be written as a fraction
This decimal is Irrational and cannot be written as a fraction
1213999
1213
999
1213 over 999
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All Answers 1
Answered by
GPT-5 mini
AI
I can do that, but I need to know which digits repeat. The text you pasted is a bit jumbled. Here are the most likely interpretations and the fraction for each — pick the one that matches your original decimal (or paste the decimal with a bar or parentheses to show the repeating part).
1) If the decimal is terminating 0.1213:
- Fraction = 1213/10000 (already in lowest terms).
2) If the repeating block is "1213", i.e. 0.\overline{1213} = 0.12131213...:
- Fraction = 1213/9999.
3) If the first two digits are nonrepeating and "13" repeats, i.e. 0.12\overline{13} = 0.12131313...:
- Compute (1213 − 12)/(10^4 − 10^2) = 1201/9900 (in lowest terms).
4) If only the last digit 3 repeats, i.e. 0.121\overline{3} = 0.1213333...:
- Fraction = (1213 − 121)/(10^4 − 10^3) = 1092/9000 = 91/750.
Tell me which of these matches your problem (or show the repeating bar/parentheses) and I’ll confirm.
1) If the decimal is terminating 0.1213:
- Fraction = 1213/10000 (already in lowest terms).
2) If the repeating block is "1213", i.e. 0.\overline{1213} = 0.12131213...:
- Fraction = 1213/9999.
3) If the first two digits are nonrepeating and "13" repeats, i.e. 0.12\overline{13} = 0.12131313...:
- Compute (1213 − 12)/(10^4 − 10^2) = 1201/9900 (in lowest terms).
4) If only the last digit 3 repeats, i.e. 0.121\overline{3} = 0.1213333...:
- Fraction = (1213 − 121)/(10^4 − 10^3) = 1092/9000 = 91/750.
Tell me which of these matches your problem (or show the repeating bar/parentheses) and I’ll confirm.
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