
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


\(\frac{74\times158+69}{158\times75-89}\)
= \(\frac{74\times158+69}{158\times\left(74+1\right)-89}\)
= \(\frac{74\times158+69}{158\times74+158-89}\)
= \(\frac{74\times158+69}{158\times74+\left(158-89\right)}\)
= \(\frac{74\times158+69}{74\times158+69}\)
= 1

= 1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
= 1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
= 9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
= 9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]
= 9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
= 9 – (1 – 1/10) = 9 – 9/10 = 81/10
\(\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+...+\frac{89}{90}\)
\(=\left(1-\frac{1}{2}\right)+\left(1-\frac{1}{6}\right)+\left(1-\frac{1}{12}\right)+...+\left(1-\frac{1}{90}\right)\)
\(=\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+\left(1-\frac{1}{3.4}\right)+...+\left(1-\frac{1}{9.10}\right)\)
\(=\left(1+1+1+...+1\right)-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\right)\)
9 số 1
\(=9-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=9-\left(1-\frac{1}{10}\right)\)
\(=9-\frac{9}{10}\)
\(=\frac{81}{10}\)
Ủng hộ mk nha ^-^

999-998+997-996+...89-88
= ( 999 - 998 ) + ( 997 - 996 ) + ... + ( 89 - 88 ) ( có 456 cặp )
= 1 +1 + ... + 1
= 456
999-998+997-996+...89-88
= ( 999 - 1 ) + ( 997 - 996 ) + ... + ( 89 - 88 ) ( có 456 cặp )
= 1 + 1 + .... + 1 ( có 456 số 1 )
= 1 . 456
= 456

29 x (-13) +19 x 13 = -29 x 13 +19 x 13
= (-29+19) x 13
= -10 x 13
=-130

21 x 33 + 3 x 7 x 25 + 63 x 14
= 3 x 7 x 3 x 11 + 3 x 7 x 5 x 5 + 3 x 3 x 7 x 2 x 7
= 3x 7 x ( 3 x 11 + 5 x 5 + 3 x 2 x 7 )
= 21 x 100
= 2100
=11
NHỚ K ĐẤY
854 - ( 89 + 754)
= 854 - 89 - 754
= ( 854 - 754 ) - 89
= 100 - 89
= 11
\(\text{~ Chúc học tốt ~ Ai ngang qua xin để lại 1 L - I - K - E}\)