$$frac1A=frac11 +frac11=frac1+11*1=frac21$$Hence $$A=1/2$$
Case 5$$frac1A=frac15 +frac15=frac5+55*5=frac1025$$Hence $$A=25/10=2.5$$
I can see in both of these cases $A$ is still $1$
asked Nov 20, 2016 at 2:17
31711 gold badge33 silver badges1212 bronze badges
showroom a phản hồi |
2 Answers 2
Sorted by: Reset to default
Highest score (default) Date modified (newest first) Date created (oldest first)
Since everything is strictly positive, it"s simply the fact that $$frac1A=frac1B+frac1C>frac1B$$ và $$frac1A>frac1Bimplies B>A$$ Same for $C$. Since $A$ is smaller than boh, it is smaller than the minimum.
Bạn đang xem: View question
I don"t really understand why in you decided to lớn consider only three numbers.
answered Nov 20, 2016 at 2:21
blackpen what trick? $endgroup$
Nov 20, năm 2016 at 2:28
địa chỉ a bình luận |
As you said, $frac1A=fracC+BC*B$which means $A=fracB*CB+C$Now clearly $B > fracB*CB+C$ because $fracB*CB+C = B*fracCB+C$ và $fracCB+C Similarly, $C > fracB*CB+C$ because $fracB*CB+C = C*fracBB+C$ and $fracBB+C Thus $B > fracB*CB+C = A$ & $C > fracB*CB+C = A$
answered Nov 20, 2016 at 2:30
88344 silver badges1111 bronze badges
showroom a comment |
Thanks for contributing an answer lớn 91neg.comematics Stack Exchange!Please be sure lớn answer the question. Provide details và share your research!
But avoid …Asking for help, clarification, or responding to lớn other answers.Making statements based on opinion; back them up with references or personal experience.
Use 91neg.comJax to format equations. 91neg.comJax reference.
To learn more, see our tips on writing great answers.
Xem thêm: Gpa Là Gì? 3 Thang Điểm Gpa Hiện Nay Cho Bạn Tham Khảo Quy Đổi Gpa & Cách Tính Điểm Gpa Thế Nào
Sign up or log in
Sign up using Google
Sign up using Facebook
Sign up using email and Password
Post as a guest
e-mail Required, but never shown
Post as a guest
thư điện tử
Required, but never shown
Post Your Answer Discard
Not the answer you're looking for? Browse other questions tagged ratio or ask your own question.
The Overflow Blog
Featured on Meta
Finding a Shape with a Surface Area khổng lồ Volume Ratio of 1
Factoring an equation by 15
What fraction of the trapezium is shaded? My guess: $frac 13$. Answer: $?$
Why does 100% represent the whole of something
Simple Ratios Shortcut - Why does it work?
Best rational approximations to lớn a ratio of three numbers $x:y:z$
Hot Network Questions more hot questions
Subscribe to RSS
Question feed to lớn subscribe to this RSS feed, copy & paste this URL into your RSS reader.
Stack Exchange Network
Site design / logo © 2022 Stack Exchange Inc; user contributions licensed under cc by-sa. Rev2022.7.1.42502