Expressed as a geometric series: 0.11111 ⋯ = 1 / 10 + 1 / 100 + 1 / 1000 + 1 / 10000 + ⋯ = ( 1 / 10 ) ( 1 + 1 / 10 + 1 / 100 + 1 / 1000 + … ) So we found the
So 0.111… = 1/9, 0.444… = 4/9, 0.777… = 7/9, and so on.
Solution: 11% as a fraction is 11/100.
0.1 as a fraction in simplest form is 1/10. For this answer, you simply have to replace the point with 10 in the denominator.
∴ 111 = 0.090909.....
Solution: 11 1/9 as a decimal is 11.11
And there you go! We got 11.11 as the answer when you convert 11 1/9 (or 100/9) to a decimal.
First, we can recognize that 0.16666666666 is approximately equal to 1/6.
Answer: 0.1 as a percent is 10%.
Here, we will express the decimal number 0.1 as a percent. Let us proceed step by step.
In other words, 0.1111… = 1/9.
Solution: 1/11 as a decimal is 0.091
When you convert 1/11 to a decimal, 0.091 is your answer.
Expressed as a geometric series: 0.11111 ⋯ = 1 / 10 + 1 / 100 + 1 / 1000 + 1 / 10000 + ⋯ = ( 1 / 10 ) ( 1 + 1 / 10 + 1 / 100 + 1 / 1000 + … ) So we found the repeating decimal 0.11111 … equal to one-ninth.
For example, the decimal equivalent of 1011.111 is 11.875, since the integer part 1011 has the decimal equivalent 11 and the fraction 0.111 has the decimal equivalent 0.875.
This means that it is not a terminating decimal, as terminating decimals have a finite number of digits after the decimal point. Since there is a repeating pattern, we can conclude that 0.111... is a repeating decimal.
Since there is one digit after the decimal point, remove the decimal point and divide the number 1 by 10. Thus, 0.1 = 1/10.
We can link multiplication of decimals to common fractions because we know that 0.1 (one tenth) is the same as 1/10, or 1 ÷ 10.
So we can see that our original decimal of 0.333333... is equal to the fraction 1/3.
Solution: 1 6/16 as a decimal is 1.38.
Solution: 0.167 as a fraction is 167/1000.
Solution: 11 1/10 as a decimal is 11.1
And finally, you get 11.1 as your answer when you convert 11 1/10 (or 111/10) to a decimal.
Solution: 11 1/11 as a decimal is 11.09
And there you go! We got 11.09 as the answer when you convert 11 1/11 (or 122/11) to a decimal.
As a result, you get 2.11 as your answer when you convert 1 10/9 (or 19/9) to a decimal.