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There are times when working with fractions is more convenient than working with decimals.

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โˆ™ 2011-11-15 14:21:36
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Q: Why are repeating decimals changed to fractions?
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Related questions

Is 0.16 repeating irrational?

No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.

What numbers do you have to change fractions to decimals?

All numbers can be changed from fractions to decimals.

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!:)

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.

Real life situation for changing repeating decimals into fractions?

there are None!

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

What is the relationship between repeating decimals and fractions?

They are both representations of rational numbers.

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

How do you order fractions and decimals from least to greastest?

The easiest way it to convert them all to decimals. Carry out the repeating decimals to an equal number of places. Then it is easy to put them in order.

What is it called when fractions terminating repeating decimals integers and percents called?

They are called rational numbers

How can decimals be changed to fractions?

try reading the math book

Why are negative repeating decimals, rational?

If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.

Convert between fractions and decimals 8 over 12?

8/12 = 0.666 (repeating decimal)

Why aren't repeating decimals considered irrational?

Because they can be converted, quite easily, into equivalent rational fractions.

How do you convert fractions to repeating decimals?

To convert a fraction to a decimal, divide the top number by the bottom number.

Is negative 3.25 repeating decimal an integer?

No because integers are whole numbers without decimals or fractions

How do you change a repeating decimals into fractions?

The pattern is divide the repeating number by the amount of nines equivalent tot he amount of digits in the repeating pattern. For example: 0.44444... = 4/9 and .123123123123... = 123/999.

What three repeating numbers whether it be fractions or decimals added together will equal to 1?

0.333..., 0.333... and 0.333...

Can fractions be added to decimals?

Yes providing you change the fractions into decimals or change the decimals into fractions

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.

Why is the square root of 36 rational?

It is because 6 is one of the rational numbers, which are anything ranging from negative numbers, positive numbers, ratios, fractions and decimals, and repeating decimals.

How fractions are related to repeating decimals and terminating decimals?

All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.

How are fractions are related to repeating decimals and terminating decimals?

If the denominator of the fraction has any prime factor other than 2 or 5, then it has a decimal representation with a repeating sequence of digits. If the denominator is a product of any number of 2s or 5s then it can be represented as a terminating decimal.

What would 10 over 12 be in the simplest form?

If you leave it in fractions, it would be 5/6. In decimals, it would be .83333 repeating.