Question

[Quỳnh Như Nguyễn Phạm]

giải chi tiết giúp mình với ạ

Answer 1

[Knight™]

\(=4\dfrac{5}{57}-3\dfrac{4}{51}+8\dfrac{13}{29}-3\dfrac{5}{57}+6\dfrac{16}{29}\)

\(=\left(4\dfrac{5}{57}-3\dfrac{5}{57}\right)+\left(8\dfrac{13}{29}+6\dfrac{16}{29}\right)-\dfrac{157}{51}\)

\(=16-\dfrac{157}{51}\)

\(=\dfrac{659}{51}\)

Answer 2

[Nguyễn Tân Vương]

\(\left(4\dfrac{5}{57}-3\dfrac{4}{51}+8\dfrac{13}{29}\right)-\left(3\dfrac{5}{57}-6\dfrac{16}{29}\right)\)

\(=\left(\dfrac{233}{57}-\dfrac{157}{51}+\dfrac{245}{29}\right)-\left(\dfrac{176}{57}-\dfrac{190}{29}\right)\)

\(=\left(\dfrac{233}{57}+\dfrac{-157}{51}+\dfrac{245}{29}\right)-\left(\dfrac{176}{57}+\dfrac{-190}{29}\right)\)

\(=\dfrac{233}{57}+\dfrac{-157}{51}+\dfrac{245}{29}-\dfrac{176}{57}-\dfrac{-190}{29}\)

\(=\left(\dfrac{233}{57}-\dfrac{176}{57}\right)+\left(\dfrac{245}{29}-\dfrac{-190}{29}\right)+\left(\dfrac{-157}{51}\right)\)

\(1+15+\left(\dfrac{-157}{51}\right)\)

\(=16+\left(\dfrac{-157}{51}\right)\)

\(=\dfrac{659}{51}\)