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Notice the pattern.

0.7 repeating = 7/9

0.57 repeating - 57/99

0.357 repeating = 357/999

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Q: How would you write a recurring decimal as a fraction?
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How do you write 0.1 as an equivalent decimal fraction?

0.10, 0.100 or, 0.0999 ... (recurring)


How do you convert 0.1666 into a fraction?

To change e decimal (which should be called a "decimal fraction") into a "proper" fraction, first write it down as a fraction and then try to cancel it. This 0.1666 = 1666/10000 which would 2 to = 833/5000 It looks to me as if you mean the sixes in 0.1666 to be recurring. If you know anything about "thirds" in decimal form you will know that 0.3 recurring, which looks like 0.3333333333333333333333333going on for ever, then you might recognize that 0.16with the 6 recurring is a half of 0.3 recurring. Since 0.3 recurring = 1/3, then 0.1666666recurring = 1/6


How use mental math to write a decimal as a fraction?

you would take your numerator in fraction and put it behind your decimal


How do you write 5 over 6 as a recurring decimal?

5/6 written as a recurring decimal is 0.83333...


How do you change a decimal fraction to an equivalent fraction?

In theory there are three types of decimal fractions: terminating, recurring and non-recurring infinite.For a terminating fraction, count the numbers of digits after the decimal point and call that number d. Then write a fraction with numerator equal to the decimal fraction but without the decimal point and the denominators equal to 1 followed by d zeros. That ratio is an equivalent fraction though it may be possible to simplify it.For example:Given 98.765, d = 3 (the digits 765)So equivalent fraction = 98765/1000For a recurring decimal, count the number of digits from the decimal point to the point before the recurring pattern begins, d and count the number of digits in the recurring pattern, r. Then, build the fraction as follows:Numerator = the number formed to d+r digits after the decimal point minus the number formed to ddigits after the decimal point.Denominator = r 9s followed by d 0s.For example,12.789656565.... recurringd = 3r = 2So Numerator = 5 digits after the decimal point - 3 digits after the dp= 1278956 - 12789 = 1266167and denominator = 2 nines followed by 3 zeros = 99000So equivalent fraction = 1266167/99000.Finally, you cannot be given an infinite, non-recurring decimal fraction. It will have to be approximated.

Related questions

How would you write 3 hours and 20 minutes in decimal form?

Expressed as a decimal fraction, this is equal to 3.3 recurring (that is, 3.333..) hours.


How do you write 0.1 as an equivalent decimal fraction?

0.10, 0.100 or, 0.0999 ... (recurring)


How do you write 13 37 as a decimal?

Expressed as a decimal fraction, 13/37 is equal to 0.351 recurring (that is, 0.351351351..)


How do you convert 0.1666 into a fraction?

To change e decimal (which should be called a "decimal fraction") into a "proper" fraction, first write it down as a fraction and then try to cancel it. This 0.1666 = 1666/10000 which would 2 to = 833/5000 It looks to me as if you mean the sixes in 0.1666 to be recurring. If you know anything about "thirds" in decimal form you will know that 0.3 recurring, which looks like 0.3333333333333333333333333going on for ever, then you might recognize that 0.16with the 6 recurring is a half of 0.3 recurring. Since 0.3 recurring = 1/3, then 0.1666666recurring = 1/6


Write the decimal fraction for 3.588?

The decimal fraction for 3.588 would be 3.588/1000


How do you write 0.1717 recurring as a fraction?

0.1717 recurring written as a fraction is 17/99


How do you write 0.75 recurring as a fraction?

0.75 recurring written as a fraction is 25/33


How do you write 0.555555555555 as a fraction?

It is 555,555,555,555/1,000,000,000,000, simplified as 111,111,111,111/200,000,000,000. If it is a recurring decimal, where the number 5 goes on and on: x = 0.5555... 10x = 5.5555... 9x = 5.5555... - 0.5555... 9x = 5 x = 5/9 Therefore, if it is a recurring decimal, the fraction is 5/9.


How would you write 0.5 as decimal?

0.5 is already in the form of a decimal fraction.


How use mental math to write a decimal as a fraction?

you would take your numerator in fraction and put it behind your decimal


When you write a fraction as a decimal you write the decimal blank of the fraction?

blank = representation.


How do you write 5 over 6 as a recurring decimal?

5/6 written as a recurring decimal is 0.83333...