Rút gọn

To simplify the expression, we can find a common denominator for the fractions and then combine like terms.

The common denominator for 3 and 7 is 21, and the common denominator for 3 and 7 is 21 as well.

So, we have:

(-2/3 + 3/7) x 2021/2022 + (4/7 - 1/3) x 2021/2022

To find the common denominator, we multiply the numerators and denominators of each fraction by the necessary factors:

(-2/3 + 3/7) x (7/7) x (2021/2022) + (4/7 - 1/3) x (3/3) x (2021/2022)

Simplifying further:

(-14/21 + 9/21) x (2021/2022) + (12/21 - 7/21) x (2021/2022)

(-5/21) x (2021/2022) + (5/21) x (2021/2022)

Now, we can combine like terms:

(-5/21 + 5/21) x (2021/2022)

0 x (2021/2022)

0

Therefore, the simplified expression is 0.