Thanks has a piece of rope that is 6 2/3 feet long how do you write 6 2/3 of a fraction greater than 1
1 answer:
You might be interested in
Answer:
-0.9090... can be written as .
Explanation:
Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.
We can start by listing out
0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now. we let this series be equal to x, that is
= 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
Now, we'll multiply both sides by 100 .
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...
Then, subtract the 1st equation from the second like so:
= 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...
= - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...
And we end up with this:
Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.
Which can be reduced and simplified to
Hope this helps!
<h2>Hello!</h2>
The answer is:
The area of this figure is 946 square inches.
<h2>Why?</h2>We can see that the figure is composed by two rectangles with diferrent dimensions, so, to calculate the area of the entire figure.
So,
For the first rectangle, we have:
The area will be:
For the second rectangle, we have:
The area will be:
Now, calculating the area of the entire figure, we have:
Have a nice day!