Converting Repeating Decimals to Common Fractions

Try to write each of the following decimals as a common fractions.

(a) 0.432

Don't use plagiarized sources. Get Your Custom Essay on
Converting Repeating Decimals to Common Fractions
From $10/Page
Order Essay

(b) 0.1 repeating = 0.111111…..

(C)0.01 REPEATING = 0.0111111….

(D) 0.01 REPEATING = 0.010101010….

(E) 0.123 REPEATING = 0.123123123…..

(F) 2.243 REPEATING = 2.243434343…

(G) 0.939339333933339….

2. Can all decimals (terminating, repeating and the rest) be written as common fractions? Explain how you know, and describe a general procedure for converting, in the cases when it’s possible. Solution Preview
I have provided an example problem for each of the ones you submitted. Just plug in your own numbers and you’re all set!

(a) 0.432
Example: Convert 0.45 to a fraction.
Step 1: Let x = 0.45.
Step 2: Count how many numbers there are after the decimal point. In this case, there are 2.
Step 3: Multiply both sides by 100, because 100 has 2 zeroes. We get 100x = 45.
Step 4: Solve for x. In this case x = 45/100. Reduce to get x = 9/20.

(b) 0.1 repeating = 0.111111…..
Rule: All single-digit repeating decimal number can be written as a fraction with 9 as the denominator and the repeating single-digit as the numerator.
0.111… = 1/9
0.222… = 2/9
0.333… = 3/9
0.444… = 4/9
0.555… = 5/9
0.666… = 6/9
0.777… = 7/9
0.888… = 8/9

(C) 0.01 REPEATING = 0.0111111….
Example: Convert 0.022222
Since there are 6 digits in 022222, the very last digit is the “1000000th” decimal place.
So we can just say that .022222 is the same as 022222/1000000.
We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2, since it’s the GCD. This gives us 11111/500000.

(D) 0.01 REPEATING = 0.010101010….
Example: Convert 0.131313
Slide the decimal point in this number to the right 2 …

Solution Summary
Converting repeating decimals to common fractions are analyzed.To continue with the answer check on

Calculate the price
Make an order in advance and get the best price
Pages (550 words)
*Price with a welcome 20% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with My Course Writer
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
See why 10k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
Thank you for your hard work; I enjoyed reading the essay and appreciate your writing.
Customer 452483, July 18th, 2021
came in earlier than I thought and has all the sources listed and cited in APA format, overall all perfect!
Customer 452461, May 24th, 2021
Excellent!!! Thank you.
Customer 452487, September 13th, 2021
Healthcare Writing & Communications
You guys are awesome! Appreciate all of your hard work! Thank you.
Customer 452483, October 15th, 2021
English 101
Great work! Thanks!
Customer 452567, August 2nd, 2022
On point! Appreciate all the hard work!!
Customer 452483, August 16th, 2021
PERFECT! Thanks a million, you're all awesome!!!!
Customer 452483, July 7th, 2021
English 101
Customer 452547, March 22nd, 2022
Introduction to Sociology
Amazing! Thank you so much for your hard work, appreciate it!!
Customer 452483, October 24th, 2021
Biology (and other Life Sciences)
Power Point Presentation was great, appreciate all of your hard work. Thank you!
Customer 452483, August 9th, 2021
Well done! I thank you very much!
Customer 452483, July 9th, 2021
Good job! Thank you
Customer 452487, October 17th, 2021
Customer reviews in total
Current satisfaction rate
2 pages
Average paper length
Customers referred by a friend
20% OFF your first order
Use a coupon 20OFF and enjoy expert help with any task at the most affordable price.
Claim my 20% OFF Order in Chat
Open chat
Chat with us Live Here
Get in Touch with Our Live Chat Agents via WhatsApp on +1(346) 416-0954. Get Unlimited Access to Answers on Any Queries With Your Paper.