Respuesta :
1/9 because 1/9 is equivalent to .1 repeating, and since it repeats, it would continue with the 1 for infinite decimal places, thus making 11.11111% because you move the decimal over 2 places to make the fraction turn into a decimal.
Percentage and fractions are closely related on some topics.
A fraction with denominator of 5 whose equivalent percent is less than 100% is [tex]\dfrac{8}{9}[/tex]
To find:
- A fraction with a denominator of 9 whose equivalent percent is less than 100%.
What does percent shows?
As the name suggests, percent shows how much of amount is available per -cent. Cent means 100.
Thus, if i write 90%, then that will mean there are 90 items or values per 100 items available.
If some child got 89% in his semester examination, then that means that child got on average 89 points out of 100 points available(per cent).
Cent percent thus denotes 100 per 100.
Cent per cent is equivalent to 50 per 50 or 3 per 3 or y per y ( y being any non-zero constant).
If i have a objects per b objects, i can write it in fraction form as [tex]\dfrac{a}{b}[/tex]
Thus, if i have x%, then i can take it as x per 100, or [tex]\dfrac{x}{100}[/tex]
Now, if it is given that 9 is in denominator, then what to choose as numerator so as the percent form is < 100% ?
If i choose 9 per 9, then it is 100 per 100 or 100%.
Thus if i choose any value less than 9, then i get < 100%.
Thus, [tex]\dfrac{8}{9}[/tex] is one such value whose percent form is < 100%
Checking it:
Converting 8/9 to percent form:
[tex]\dfrac{8}9} = \dfrac{8 \times 100}{9 \times 100} = \dfrac{\dfrac{800}{9}}{100} = \dfrac{88.89}{100} = 88.89\%[/tex]
Thus, it is less than 100%.
Learn more about fractions and percent here.
https://brainly.com/question/317717
