At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
4.05 with (05) repeating if converted to a fraction or mixed number will be
[tex]4\frac{5}{99}[/tex].
As per the question statement, we are provided with a repeating decimal, 4.05 with (05) repeating.
We are required to convert the repeating decimal into a mixed number.
To solve this question, we need to know the formula to convert any repeating decimal number to a fraction which goes as:
[tex]\frac{[(DN*F)-NRF]}{D}[/tex]
Where, DN denoted the concerned Decimal Number,
(F = 10) if one repeating is number, 100 if two repeating numbers, 1000 if three repeating numbers and so on.
NRP denotes the Non-repeating part of decimal number.
And, D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, and so on, similar to F.
Then, using our given data in the above formula, we get
4.05 with (05) repeating = [tex]\frac{(4.05*100)-4}{99}=\frac{(405-4)}{99}=\frac{401}{99}=4\frac{5}{99}[/tex].
- Repeating Decimal: A repeating decimal, also called as Recurring Decimal, is a decimal number that consists of digits repeating after a fixed interval after the decimal point.
To learn more about Repeating Decimal, click on the link below.
https://brainly.com/question/820308
#SPJ9
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.
