A community for students.
Here's the question you clicked on:
 0 viewing
JokerSmart
 one year ago
___
What is 0.12 expressed as the quotient of two integers in simplest form?
JokerSmart
 one year ago
___ What is 0.12 expressed as the quotient of two integers in simplest form?

This Question is Closed

JokerSmart
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 3 }{ 25 }\] I believe.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1This is how I learned to find a fraction for a repeating, nonterminating decimal. I'll show it to you step by step.

JokerSmart
 one year ago
Best ResponseYou've already chosen the best response.1Thank you for taking the time to help me out. ^_^

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Call the number x, and write the number leaving space above it, like this: dw:1432836892783:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Sorry, it's better like this, leaving room to the left of the number, too. dw:1432836947882:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since there are 2 repeating decimal places, 0.1212..., we need 10^2. You always use 10 to the power that is the number off repeating decimals. 10^2 = 100, so we multiply both sides by 100 and write the new equation above the original equation: dw:1432837075824:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Do you follow so far?

JokerSmart
 one year ago
Best ResponseYou've already chosen the best response.1Ah that's right! I think I have something similar like that in my notes.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now you subtract the bottom equation from the top equation, like this: dw:1432837224992:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Since 99x = 12, we simply divide both sides by 99 and reduce. dw:1432837294475:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1The answer is \(\dfrac{4}{33} \)

JokerSmart
 one year ago
Best ResponseYou've already chosen the best response.1So 12.121212  0.121212 = 12 I see. Ah thank you so much. I should probably write this down for future reference. xD I appreciate your help! I as a bit off from the answer, haha

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Now notice why your answer above is incorrect. dw:1432837370538:dw

JokerSmart
 one year ago
Best ResponseYou've already chosen the best response.1Yeah, I missed something around there.

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Your answer was for the terminating, nonrepeating decimal 0.12 The question is about the repeating, nonterminating decimal 0.121212... They are different numbers. The nonterminating one is a little larger than the terminating one.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.