Kết quả phép tính -2021/ 2022 . 9/11 + -2021/2022 . 2/11 bằng

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Kết quả phép tính \(\frac{{ - 2021}}{{2022}} \cdot \frac{9}{{11}} + \frac{{ - 2021}}{{2022}} \cdot \frac{2}{{11}}\) bằng:

\(\frac{{2021}}{{2022}}\);

\( - \frac{9}{{11}}\);

\( - \frac{{2021}}{{2022}}\);

Giải thích

Đáp án đúng là: C

Ta có:

\(\frac{{ - 2021}}{{2022}} \cdot \frac{9}{{11}} + \frac{{ - 2021}}{{2022}} \cdot \frac{2}{{11}}\)

\( = \frac{{ - 2021}}{{2022}}.\left( {\frac{9}{{11}} + \frac{2}{{11}}} \right)\)

\( = \frac{{ - 2021}}{{2022}}.1 = \frac{{ - 2021}}{{2022}}\)