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debrasha

  • 2 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!!!!

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  1. debrasha
    • 2 years ago
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    @Agent_Sniffles @d92292 @Kathatesmath94 @SamuelAlden917 @LonelyandForgotten @LoveYou*69 @Gabylovesyou

  2. debrasha
    • 2 years ago
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    Someone Please help!!!!!!

  3. debrasha
    • 2 years ago
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    I really need help!

  4. jagatuba
    • 2 years ago
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    This 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

  5. debrasha
    • 2 years ago
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  6. debrasha
    • 2 years ago
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    Jagatuba please give me the answers to these ones. I still dont understand it.

  7. debrasha
    • 2 years ago
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    If u help me and give me the answers to just these Ill give u a medal..

  8. debrasha
    • 2 years ago
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    someone please help me.

  9. jagatuba
    • 2 years ago
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    I 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?

  10. debrasha
    • 2 years ago
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    ig but I still dont know the answers....

  11. jagatuba
    • 2 years ago
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    Well lets figure out one of them together then. Let's try, 0.125. what column is the last digit (5) in?

  12. debrasha
    • 2 years ago
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    (5) is in the thousandths place

  13. jagatuba
    • 2 years ago
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    Right so represented fractionally it is 125 x 1/1000 or 125/1000. Now reduce.

  14. debrasha
    • 2 years ago
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    1/8

  15. jagatuba
    • 2 years ago
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    Yes! It really is as simple as that. Repeating decimals are a bit different, but do the regular ones first.

  16. debrasha
    • 2 years ago
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    So then on 0.1 wouldnt the answer be 1/10

  17. jagatuba
    • 2 years ago
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    Correct.

  18. debrasha
    • 2 years ago
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    so then on 0.2 wouldnt the answer be 1/5

  19. jagatuba
    • 2 years ago
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    Unless the 1 is repeating. if it is repeating then it is 1/9.

  20. jagatuba
    • 2 years ago
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    Yes 0.2 = 2/10 = 1/5

  21. debrasha
    • 2 years ago
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    0.75 How would I do this one?

  22. jagatuba
    • 2 years ago
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    Okay. what column is the 5 in?

  23. debrasha
    • 2 years ago
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    hundredths

  24. jagatuba
    • 2 years ago
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    Right. So how many 1/100's do you have? Can you write it in fraction form?

  25. debrasha
    • 2 years ago
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    wouldnt it be 75/100

  26. jagatuba
    • 2 years ago
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    Yes. Now reduce.

  27. debrasha
    • 2 years ago
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    3/4

  28. jagatuba
    • 2 years ago
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    Yes!

  29. debrasha
    • 2 years ago
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    0.3 repeating I need help.

  30. jagatuba
    • 2 years ago
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    Okay. I have to think about the easiest way to explain this, so give me a minute to gestate something. Okay?

  31. debrasha
    • 2 years ago
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    ok.

  32. jagatuba
    • 2 years ago
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    Alright. 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?

  33. debrasha
    • 2 years ago
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    I dont get it. 0.16 repeating help me on this one so i can see if i know how to do it?

  34. debrasha
    • 2 years ago
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    ???

  35. debrasha
    • 2 years ago
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    nvm I already summited the assignment.Thanks though.

  36. jagatuba
    • 2 years ago
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    Well 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?

  37. debrasha
    • 2 years ago
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    What online school do u do?

  38. jagatuba
    • 2 years ago
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    Sorry, just saw your reply (it scrolled of the screen. Do you still want to know how to do this?

  39. debrasha
    • 2 years ago
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    no its okay. thanks so much for all ur help. I appreciate it...

  40. jagatuba
    • 2 years ago
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    No problem

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