Tính nhanh
\(2\frac{1}{315}.\frac{1}{651}-\frac{1}{105}.3\frac{650}{651}-\frac{4}{315.651}+\frac{4}{105}\)
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\(C=\frac{631}{315}.\frac{1}{651}-\frac{1}{103}.\frac{2603}{651}-\frac{4}{315}.\frac{1}{651}+\frac{4}{105}\)
\(=\frac{1}{651}.\left(\frac{631}{315}-\frac{4}{315}\right)+\frac{2603}{68355}+\frac{4}{105}\)
\(=\frac{1}{651}.\frac{209}{105}+\frac{2603}{68355}+\frac{4}{105}\)
\(=\frac{1}{105}.\left(\frac{209}{651}+\frac{4}{105}\right)+\frac{2603}{68355}\)
\(=105.\frac{167}{465}+\frac{2603}{68355}\)
\(=\frac{1169}{31}+\frac{2603}{68355}=37,74775803\)
Tính nhanh và gọn hết cỡ đc có vậy thôi. Bạn xem lại đề bài nhé
Đặt \(a=\frac{1}{315}\), \(b=\frac{1}{651}\)ta có :
\(A=\left(2+a\right)\cdot b-3a\left(3+1-b\right)-4ab+12a\)
\(\Rightarrow A=2b+ab-12a+3ab-4ab+12a\)
\(\Rightarrow A=2b=\frac{2}{651}\)
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 = \(\frac{2}{651}\)
\(\left(2+\frac{1}{315}\right).\frac{1}{651}-\frac{1}{105}\left(3+1-\frac{1}{651}\right)-\frac{4}{315.651}+\frac{4}{105}\)
\(=\frac{2}{651}+\frac{1}{315.651}-\frac{4}{105}+\frac{1}{105.651}-\frac{4}{315.651}+\frac{4}{105}\)
\(=\frac{2}{651}-\frac{3}{315.651}+\frac{1}{105.651}\)
\(=\frac{2}{651}-\frac{1}{105.651}+\frac{1}{105.651}=\frac{2}{651}\)
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