Chọn câu đúng

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Chọn câu đúng

\[\frac{{23}}{{99}} < \frac{{2323}}{{9999}} < \frac{{232323}}{{999999}} < \frac{{23232323}}{{99999999}}\]

\[\frac{{23}}{{99}} >\frac{{2323}}{{9999}} >\frac{{232323}}{{999999}} >\frac{{23232323}}{{99999999}}\]

\[\frac{{23}}{{99}} = \frac{{2323}}{{9999}} < \frac{{232323}}{{999999}} = \frac{{23232323}}{{99999999}}\]

\[\frac{{23}}{{99}} = \frac{{2323}}{{9999}} = \frac{{232323}}{{999999}} = \frac{{23232323}}{{99999999}}\]

Giải thích

Ta có:

\[\frac{{2323}}{{9999}} = \frac{{2323:101}}{{9999:101}} = \frac{{23}}{{99}}\]

\[\frac{{232323}}{{999999}} = \frac{{232323:10101}}{{999999:10101}} = \frac{{23}}{{99}}\]

\[\frac{{23232323}}{{99999999}} = \frac{{23232323:1010101}}{{99999999:1010101}} = \frac{{23}}{{99}}\]

Vậy \[\frac{{23}}{{99}} = \frac{{2323}}{{9999}} = \frac{{232323}}{{999999}} = \frac{{23232323}}{{99999999}}\]

Đáp án cần chọn là: D