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Yes.
Put the repeating digits over the same number of 9s and simplify.
eg 0.18181818... = 18/99 = 2/11
eg 0.123123... = 123/999 = 41/333
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∙ 11y ago
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What is the relationship between repeating decimals and fractions?
They are both representations of rational numbers.
Why are repeating decimals common to get after dividing?
all rational fractions are repeating. When you divide, eventually the remainder will repeat and then will the sequence
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Is 3.25 repeating an integer?
No because integers are whole numbers without decimals or fractions.
How can a decimal change to a repeating fraction?
Fractions don't repeat, decimals do. 4/9 = 4 divided by 9 = 0.4444 repeating
Is a repeating decimal rational?
yes, repeating decimals (those that have infinite - never ending - number of digits after the decimal point and these decimals show repeating pattern) are rational numbers, because they can be written as fractions.
Why are repeating decimals changed to fractions?
There are times when working with fractions is more convenient than working with decimals.
Is 0.16 repeating irrational?
No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.
Can all terminating decimals be written as fractions?
All terminating decimals can be written as fractions.
Why are repeating decimals rational numbers?
Because repeating decimals can be written as simple fractions.0.22222 repeating = 2/9The formal definition of a rational number is a number that can be in the form p/qwhere p and q are integers and q is not equal to zero.
How do you add repeating decimals?
Convert the repeating decimals into fractions, and then add those. If you need it as a decimal, then you can just convert the product back into a decimal!:)
Real life situation for changing repeating decimals into fractions?
there are None!
How can fractions be written as?
decimals
What can rational numbers be expressed as?
fractions or decimals
What is the relationship between repeating decimals and fractions?
They are both representations of rational numbers.
Why are repeating decimals common to get after dividing?
all rational fractions are repeating. When you divide, eventually the remainder will repeat and then will the sequence
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
