The first step is to assign the decimal number to a variable.
For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating
The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1
The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1
And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.
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Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55
Answer:
12+4y
Step-by-step explanation:
12+3y+y=12+4y
Triangles ABD and BCD are similar, because they are both right and share a common angle, and thus all three angles are equal.
This means that we can set the proportion

Plug the numbers and we have

Solve for
:

Answer:
x = 33
Step-by-step explanation:
2x + 1 + 4x - 19 = 180
you set to 180 assuming that that is a line and lines are = to 180 degrees
then solve for x
6x = 198
x = 33
Answer:
7000
Step-by-step explanation: