A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
Write the fractional equivalent (in reduced form) to each number.
0.3 repeating
0.125
0.16 repeating
0.1 0.6 repeating
0.2
0.75
Please Help!!!!
anonymous
 3 years ago
Write the fractional equivalent (in reduced form) to each number. 0.3 repeating 0.125 0.16 repeating 0.1 0.6 repeating 0.2 0.75 Please Help!!!!

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@Agent_Sniffles @d92292 @Kathatesmath94 @SamuelAlden917 @LonelyandForgotten @LoveYou*69 @Gabylovesyou

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Someone Please help!!!!!!

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1This is quite simple when you know how to convert a decimal to a fraction. Just remember that anything to the right of the decimal is in increments of 1/10. IE: 0.1 = 1/10 0.01 = 1/100 0.001 = 1/1000 and so on. So most of these are pretty straight forward. I don't want to answer your questions for you because I know that you are capable of answering them after a little coaxing, but I will give you a couple examples that you can apply. 0.140 = 140/1000 = 7/50 0.6 = 6/10 = 3/5

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0@FirstFrostByte @jishan @kaylynn_013 @tacamry @darkside3704

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Jagatuba please give me the answers to these ones. I still dont understand it.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0If u help me and give me the answers to just these Ill give u a medal..

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0someone please help me.

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1I cannot give you the answers, but I can break down the examples a bit more for you: 0.140 is really 0.14 because the 0 is meaning less (that was my bad). So 0.14 is 14/100 because the second digit to the right of the decimal is the 1/100 column. 14/100 can be reduced to 7/50 by dividing the top and bottom of the fraction by 2. 0.6 is 6/10 since the number is only one digit to the right of the decimal which is the 1/10 column. You can reduce 6/10 to 3/5 also by dividing top and bottom by 2. Does that make more sense?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ig but I still dont know the answers....

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Well lets figure out one of them together then. Let's try, 0.125. what column is the last digit (5) in?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0(5) is in the thousandths place

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Right so represented fractionally it is 125 x 1/1000 or 125/1000. Now reduce.

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Yes! It really is as simple as that. Repeating decimals are a bit different, but do the regular ones first.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0So then on 0.1 wouldnt the answer be 1/10

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so then on 0.2 wouldnt the answer be 1/5

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Unless the 1 is repeating. if it is repeating then it is 1/9.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.00.75 How would I do this one?

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Okay. what column is the 5 in?

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Right. So how many 1/100's do you have? Can you write it in fraction form?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.00.3 repeating I need help.

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Okay. I have to think about the easiest way to explain this, so give me a minute to gestate something. Okay?

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Alright. let's see if you can follow me on this. The fractions that we have been dealing with so far are rational numbers. When decimals repeat they are irrational so cannot readily be represented as a fraction. For example 0.3 repeating cannot be 3/10 because there is another 3. It can't be 33/100 because there is another 3. It cannot be 333/1000 because there is another 3 and so on. It's not rational. So suppose that you have a repeating decimal, and it looks like .(a)(a)(a)... where (a) is some sequence of repeating digits (technically, (a) is called the "repetend," i.e., "the thing which is repeated"). For instance, for 1/9 = .111111..., (a) is 1 for 1/11 = .09090909..., (a) is 09 for 1/7 = .142857142857..., (a) is 142857 So you follow me so far?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I dont get it. 0.16 repeating help me on this one so i can see if i know how to do it?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0nvm I already summited the assignment.Thanks though.

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Well don't get ahead of me here. I want to be sure you understand what I'm about to explain. We'll get to 0.16 in a second. I want to be sure you know how to get the repetend. Now, First, you have to count the number of digits in the repetend. When (a) is 3, the number of digits is 1, when (a) is 09, the number of digits is 2, and when (a) is 142857, the number of digits is 6. Now, multiply your repeating decimal by a power of 10, namely, the power of 10 which is a 1 followed by a number of zeros equal to the number of digits in the repetend. That's a mouthful, so let's see how it works in the examples above: For 0.33333..., the repetend is 3, and that has *one* digit, so multiply by a 1 followed by *one* zero, i.e., by 10 For 0.090909..., the repetend is 09, which has *two* digits, so multiply by a 1 followed by *two* zeros, i.e., by 100 For 0.142857142857..., the repetend is 142857, which has *six* digits, so multiply by a 1 followed by *six* zeros, i.e., by 1,000,000 (one million). If we multiply the repeating decimal by a power of 10 in this way, we end up with a decimal which has the repetend to the LEFT of the decimal point, and the same repeating decimal we started out with to the RIGHT of the decimal point: Multipy 0.33333... by 10, and we get 3.33333... Multiply 0.090909... by 100, and we get 9.090909... Multiply 0.142857142857... by 1000000, and we get 142857.142857... Still following me?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0What online school do u do?

jagatuba
 3 years ago
Best ResponseYou've already chosen the best response.1Sorry, just saw your reply (it scrolled of the screen. Do you still want to know how to do this?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no its okay. thanks so much for all ur help. I appreciate it...
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.