Question

Bài 1: So sánh các phân số sau mà không cần thực hiện phép tính :

a) A= 54 . 107 - 53 / 53 . 107 + 54 và B= 135 . 269 - 133 / 134 . 269 + 133

b) A= 10¹¹ - 1 / 10¹² - 1 và B= 10¹⁰ + 1 / 10¹¹ + 1

Các bạn làm nhanh hộ mk nha!

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@Nguyễn Huy Tú, và các bn khác nữa nha! 😢😭😙😘😚😊😂😅😀😬😁😂😃😄😅😆😇😉😊☺😋😌😍😘😗😙😚😜😝😛😎😏😶😐😑😒😳😞😟😠😡😔😕😣😖😫😩😤😮😱😨😰😯😦😧😢😥😪😓😭😵😲😷😴👌✌👄👗👙👢👡👠💋💄👒🎩🎓👑💍👓👛👜👝🎒💎👞👣👟👘👔👖👕👚👪💑💏👭👬👫🏃🚶👯💃💆💇🙍🙎🙋🙆🙅💁🙇👼👰👸🎅💂👷👮👳👲👵👴👱👩👨👧👦👶👥👤👀👃👂👅💅🙏💪👐✋☝👇👆👎👊✊👋👉👈👍👏🙌💭💬💫💨💦💥💣💢💌❣💟💞💝💜💛💚💙💗💖💕💔💓❤💘😾😿🙀😽😼😻😹😸😺👾👽💀👻👺👹👿😈💩💤

Answer 1

Bài 1 :

\(a\))Ta có :

\(A=\dfrac{54.107-53}{53.107+54}\)\(=\dfrac{\left(53+1\right).107-53}{53.107+54}\)\(=\dfrac{53.107+107-53}{53.107+54}\)\(=\dfrac{53.107+54}{54.107+54}=1\)

\(B=\dfrac{135.269-133}{134.269+133}=\dfrac{\left(134+1\right).269-133}{134.269+133}\)\(=\dfrac{134.269+269-133}{134.269+133}\)\(=\dfrac{134.269+135}{134.269+135}+\dfrac{1}{134.269+135}\)\(=1+\dfrac{1}{134.269+135}\)\(>1\)\(=A\)

\(\Rightarrow A>B\)

~ Học tốt ~

Answer 2

b) Ta có :

\(10A=\dfrac{10^{12}-10}{10^{12}-1}=\dfrac{10^{12}-1-9}{10^{12}-1}=\dfrac{10^{12}-1}{10^{12}-1}+\dfrac{-9}{10^{12}-1}\)\(=1+\dfrac{-9}{10^{12}-1}\)\(\left(1\right)\)

\(10B=\dfrac{10^{11}+10}{10^{11}+1}=\dfrac{10^{11}+1+9}{10^{11}+1}=\dfrac{10^{11}+1}{10^{11}+1}+\dfrac{9}{10^{11}+1}\)\(=1+\dfrac{9}{10^{11}+1}\)\(\left(2\right)\)

Từ \(\left(1\right)+\left(2\right)\Rightarrow A< B\)