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When writing a repeating decimal as a fraction does the number of repeating digits you use matter?
No... you can write it to any number of decimal places.
What rational number has 0.34 repeating as its decimal equivalent?
The rational number that has 0.34 repeating as its decimal equivalent can be expressed as a fraction. To convert the repeating decimal 0.34 to a fraction, we can use the formula for repeating decimals, which is x = a/(10^m - 1), where a is the repeating part of the decimal and m is the number of repeating digits. In this case, a = 34 and m = 2, so the fraction is 34/99. Therefore, the rational number is 34/99.
When the Denominator of a proper fraction is 99 what do you notice about the repeating digit in its decimal form?
I don’t understand the question
What is 1.142857 repeating as a fraction?
Oh, what a happy little question! When we see a repeating decimal like 1.142857, we can turn it into a fraction by noting that the repeating part is 142857. To convert this to a fraction, we put this repeating part over a series of nines equal to the number of repeating digits, which gives us 142857/999999. And just like that, we've turned our repeating decimal into a lovely fraction.
What is the fraction for 0.428571429?
The fraction for 0.428571429 is 3/7. This can be determined by recognizing the repeating decimal pattern of 0.428571429, which repeats every 6 digits. By understanding that the repeating decimal can be expressed as a fraction by placing the repeating digits over the same number of nines as the repeating pattern, we can simplify 428571/999999 to 3/7.
When writing a repeating decimal as a fraction does the number of repeating digits you use matter?
No... you can write it to any number of decimal places.
What is 0.428571429 as a fraction?
The decimal 0.428571429 can be expressed as the fraction 3/7. This is because the decimal is a repeating decimal that represents the fraction when simplified. Specifically, 0.428571 is a repeating sequence of the digits 428571, corresponding to the fraction 3/7.
What is a fraction or a decimal that repeats.?
The answer depends on the repeating string and also on other digits after the decimal point before the repeating string starts.
When a fraction is changed to a decimal and the remainder is not zero a digit or block of digits will eventually start to repear. such a decimal is called a?
A repeating decimal fraction.
How do you turn a division into a decimal fraction?
You do a long division, adding decimal digits until you get a remainder of zero (terminating decimal) or a repeating pattern of decimal digits.
What is a fraction that has at least six repeating numbers?
The fraction 1/7 has the decimal value 0.142857142857142857..... The six digits 142857 keep repeating.
What are the numbers in the smallest group of repeating digits when 4111 is converted to a nonterminating decimal?
4111 is an integer and so there is no sensible way to convert it into a repeating decimal.
Can a fraction be expressed as a repeating number?
I assume you mean "repeating decimal". Yes. For example, 1/6 = 0.166666... after that, the digit "6" repeats over and over again. In other cases, it is more than one digit that repeats, over and over. Note that at first there may be other digits, that don't repeat later on.In general, any fraction (with integers on top and bottom), if converted into a decimal, will eventually start repeating. Conversely, any repeating decimal can be converted into a fraction.
What is repeating as an fraction?
A decimal fraction is said to be repeating if, after a finite number of digits, there is a string of a finite number of digits which repeats itself for ever more.For example,1537/700 = 2.19571428571428...The first three digits in the decimal representation are not part of the repeating pattern. After that, however, the string "591428" repeats endlessly.
How do you know if a decimal is terminating or repeating?
If you know what rational fraction it represents then, if the denominator in the fraction's simplest form has any prime factor other than 2 and 5, then it is a repeating decimal and if not it is terminating.Otherwise you need to examine the digits of the decimal representation in detail. Remember though, that the repeating string could be thousands of digits long (or even longer).
What is an example of a repeating fraction?
A repeating fraction is a decimal representation of a number in which a string of numbers repeats itself endlessly. The repeating string may start after a finite number of non-repeating digits. For example, 29/132 = 0.21969696... repeating. The repeated sequence is [96] which starts after two digits.
When you write a repeating decimal into a fraction why does the fraction always have only 9s or 9s and 0s as digits in the denominator?
When converting a repeating decimal into a fraction, the reason the denominator consists of 9s or a combination of 9s and 0s is rooted in the nature of the decimal system. Each digit in the repeating part corresponds to a division by powers of 10, while the repeating cycle creates a geometric series. The formula for converting a repeating decimal to a fraction effectively captures this series, resulting in a denominator that is a series of 9s for each repeating digit, and 0s for any non-repeating digits that precede the repeating section. For example, in the decimal 0.666..., the repeating '6' creates a fraction with a denominator of 9, while a decimal like 0.1(23) would result in a denominator of 990, reflecting both the repeating and non-repeating parts.
