\(=\left(\dfrac{44}{7}+\dfrac{5}{7}\right)+\left(\dfrac{38}{5}+\dfrac{2}{5}\right)+\left(\dfrac{78}{9}+\dfrac{1}{3}\right)+\left(\dfrac{37}{4}+\dfrac{3}{4}\right)+1988\)
\(=7+8+\dfrac{81}{9}+10+1988=15+19+1988=2022\)
Lời giải:
\(\frac{44}{7}+\frac{38}{5}+\frac{78}{9}+\frac{37}{4}+\frac{2}{5}+\frac{5}{7}+\frac{1}{3}+\frac{3}{4}+1988\\ =(\frac{44}{7}+\frac{5}{7})+(\frac{38}{5}+\frac{2}{5})+(\frac{78}{9}+\frac{1}{3})+(\frac{37}{4}+\frac{3}{4})+1988\\ =\frac{49}{7}+\frac{40}{5}+\frac{81}{9}+\frac{40}{4}+1988\\ =7+8+9+10+1988=34+1988=2022\)