tinh nhanh 7/12.7.15-5/12.21/39+49/91.8/15
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\(\dfrac{7}{13}.\dfrac{7}{15}-\dfrac{5}{12}.\dfrac{21}{39}+\dfrac{49}{91}.\dfrac{8}{15}\)
= \(\dfrac{7}{13}.\dfrac{7}{15}-\dfrac{5}{12}.\dfrac{7}{13}+\dfrac{7}{13}.\dfrac{8}{15}\)
= \(\dfrac{7}{13}.\left(\dfrac{7}{15}-\dfrac{5}{12}+\dfrac{8}{15}\right)\)
= \(\dfrac{7}{13}.\left(\dfrac{7}{15}+\dfrac{8}{15}-\dfrac{5}{12}\right)\)
= \(\dfrac{7}{13}.\left(1-\dfrac{5}{12}\right)\)
= \(\dfrac{7}{13}.\dfrac{7}{12}=\dfrac{49}{156}\)
\(\frac{7}{13}.\left(\frac{7}{12}\right)-\frac{5}{12}.\left(\frac{21}{39}\right)+\frac{49}{91}.\left(\frac{8}{5}\right)=\frac{7}{13}.\left(\frac{7}{12}\right)-\frac{5}{12}.\left(\frac{7}{13}\right)+\frac{7}{13}.\left(\frac{8}{5}\right)=\frac{7}{13}.\left(\frac{7}{15}-\frac{5}{12}+\frac{8}{5}\right)=\frac{7}{13}.\left(\frac{33}{20}\right)=\frac{261}{260}\)
Cảm ơn bạn nha # Cấn Thu Ngân nhưng mình biết làm rồi.Cảm ơn bạn nhé!
tính: T= (1-1/2)+(1-1/4)+(1-1/8)+.....+(1-1/512)+(1-1/1024)
53x39+47x39-53x21-47x21
=39x ( 53+47) - 21x(53+47)
=39 x100 - 21x100
= 100x(39-21)
=100x18
=1800
2x53x12 +4x6x87 - 3x8x40
= (2x12)x53 + (4x16)x87 - (3x8) x40
= 24x53 + 24x87 + 24x40
= 24( 53+87+40)
= 24x180
=4320