Tính giá trị biểu thức :
A = 2\(\frac{1}{117}\) . 3\(\frac{1}{119}\) - \(\frac{116}{117}\) . 5\(\frac{118}{119}\) - \(\frac{3}{119}\)
B = 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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Tính nhanh:
\(3\frac{1}{117},4\frac{1}{119}-1\frac{116}{117},5\frac{118}{119}-\frac{5}{119}\)
a) A = \(3\frac{1}{117}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
b) B = \(4\frac{1}{115}.1\frac{1}{225}-5\frac{114}{115}.1\frac{224}{225}-\frac{10}{225}\)
tính nhanh
\(3\frac{1}{117}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
MÌNH GẦN GẤP
Tính giá trị biểu thức B= \(2\frac{1}{117}.3\frac{1}{119}-\frac{116}{117}.5\frac{118}{119}-\frac{3}{119}\)
\(2\frac{1}{117}.3\frac{1}{119}-\frac{116}{117}.5\frac{118}{119}-\frac{3}{119}=\left(3-\frac{116}{117}\right)\cdot\left(4-\frac{118}{119}\right)-5\cdot\frac{116}{117}\cdot\frac{118}{119}-\frac{3}{119}\)
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3\(\frac{1}{117}.4\frac{1}{119}-1\frac{116}{117}.5\frac{115}{119}-\frac{5}{119}\)
\(3\frac{1}{117}\)x \(4\frac{1}{119}\)- \(1\frac{116}{117}\)x \(5\frac{115}{119}\)- \(\frac{5}{119}\)
= \(\frac{1889}{13923}\)
Tính A = \(3.\frac{1}{117}.\frac{1}{119}-\frac{4}{117}.5.\frac{118}{119}-\frac{5}{117}.\frac{1}{119}+\frac{8}{39}\)
Đặt: \(\frac{1}{117}=a,\frac{1}{119}=b\)
Khi đó: \(A=3ab-4a.5.118b-5ab+\frac{8}{39}\)
\(=-2362ab+\frac{8}{39}\)
\(=-2362.\frac{1}{117}.\frac{1}{119}=\frac{38}{1071}\)
\(2\frac{1}{315}.\frac{1}{651}-\frac{1}{105}.3\frac{650}{651}-\frac{4}{315.651}+\frac{4}{105}\)
\(=\left(2+\frac{1}{315}\right).\frac{1}{651}-\frac{1}{105}.\left(3+\frac{650}{651}\right)-\frac{4}{315.651}+\frac{4}{105}\)
\(=2.\frac{1}{651}+\frac{1}{315}.\frac{1}{651}-\frac{1}{105}.3+\frac{1}{105}.\frac{650}{651}-\frac{4}{315.651}+\frac{4}{105}\)
\(=\frac{2}{651}+\frac{1}{315.651}-\frac{3}{105}-\frac{650}{105.651}-\frac{4}{315.651}+\frac{4}{105}\)
\(=\frac{2}{615}+\left(\frac{1}{315.651}-\frac{4}{315.651}\right)+\left(\frac{-3}{105}+\frac{4}{105}\right)-\frac{650}{105.651}\)
\(=\frac{2}{651}-\frac{3}{315.651}+\frac{1}{105}-\frac{650}{105.651}\)
\(=\left(\frac{2}{651}+\frac{1}{105}\right)-\frac{650}{105.651}-\frac{3}{315.651}\)
\(=\left(\frac{2.105}{105.651}+\frac{651}{105.651}\right)-\frac{650}{105.651}-\frac{3}{315.651}\)
\(=\frac{211}{105.651}-\frac{3}{315.651}\)
\(=\frac{1}{651}.\left(\frac{211}{105}-\frac{3}{315}\right)\)
\(=\frac{1}{651}.\left(\frac{633}{315}-\frac{3}{315}\right)\)
\(=\frac{1}{651}.2\)
\(=\frac{2}{651}\)
Tính giá trị biểu thức :
a ) A = \(3\frac{1}{7}.4\frac{1}{119}-1\frac{116}{117}.5\frac{118}{119}-\frac{5}{119}\)
b ) B = \(4\frac{1}{115}.3\frac{1}{225}-5\frac{114}{115}.1\frac{224}{225}-\frac{10}{225}\)
