answersLogoWhite

0

To express 0.31111111111111 recurring as a common fraction, we can set x = 0.31111111111111 and then multiply x by 10 to shift the decimal point to the right, yielding 10x = 3.1111111111111. Next, we subtract the original equation from the shifted equation to eliminate the repeating decimal, giving 9x = 2.8. Finally, we divide both sides by 9 to solve for x, resulting in x = 2.8/9 = 28/90. Therefore, 0.31111111111111 recurring as a common fraction is 28/90.

User Avatar

ProfBot

4mo ago

What else can I help you with?

Related Questions

Express the value of recurring decimal 0.423 as a common fraction?

0.423 recurring is expressed as 47/111


How do you express 0.3 as a common fraction?

3/10


How do you express the value of the recurring decimal 0.423 as a common factor?

It is 423/999, which can be simplified, if required.


Express 12.5 percent as a reduced common fraction?

12.5% = 1/8


Express 24 percent as a common fraction?

24% = 24/100 = 6/25


What is 0.333 as a fraction in simplest form?

To express 0.333 as a fraction in simplest form, we can first write it as 333/1000. Then, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 111. Therefore, 333/1000 simplifies to 3/9 or 1/3.


How do you make 1.06 into a fraction?

To express 1.06 as a fraction, we can write it as 106/100. We can simplify this fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. Therefore, 1.06 can be written as the fraction 53/50.


How can you predict whether a fraction will give a recurring or terminating decimal?

Reduce the fraction to its simplest form - that is, remove any common factors between the numerator and denominator. If the denominator now is a factor of some power of 10, that is, if the denominator is of the form 2a*5b then the fraction will me a terminating decimal. If not, it will not.


A point is randomly selected from the square region with vertices at . What is the probability that is within one unit of the origin Express your answer as a common fraction in terms of?

7v3bg2tp9q


How do you write 0.40 as a fraction?

To write 0.40 as a fraction, you can express it as 40/100 since there are two decimal places. Then, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 20. This results in 2/5. Therefore, 0.40 as a fraction is 2/5.


What is 9.2727 in fractions?

To express 9.2727 as a fraction, you can write it as 92727/10000. You can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which in this case is 27, resulting in the simplified fraction 343/37.


What is 0.022 as a fraction?

To express 0.022 as a fraction, we first identify that the decimal is in the thousandths place. Therefore, we can write 0.022 as 22/1000. To simplify this fraction, we divide both the numerator and denominator by their greatest common factor, which is 2. This gives us the simplified fraction 11/500.