Question

Thực hiện phép nhân:

\(2\frac{1}{315}.\frac{1}{651}-\frac{1}{105}.3\frac{650}{651}-\frac{4}{315.651}+\frac{4}{105}\)

Answer 1

Đặt H = \(2\frac{1}{315}\cdot\frac{1}{651}-\frac{1}{105}-3\frac{650}{651}-\frac{4}{315\cdot651}+\frac{4}{105}\)ư

=> H = \(\frac{1}{315}\cdot\frac{1}{651}+2\frac{1}{651}-\frac{1}{105}\cdot\left(4-\frac{1}{651}\right)-\frac{4}{135}\cdot\frac{1}{651}+\frac{4}{105}\)

=> H = \(\frac{1}{135}\cdot\frac{1}{651}+2\frac{1}{651}-\frac{4}{105}+\frac{1}{105}\cdot\frac{1}{651}-\frac{4}{135}\cdot\frac{1}{651}+\frac{4}{105}\)

=> H = \(\frac{1}{651}\left(\frac{1}{315}+\frac{1}{105}+2-\frac{4}{315}\right)+\frac{4}{105}-\frac{4}{105}\)

=> H = \(\frac{2}{651}\)

Vậy H = \(\frac{2}{651}\)