What is 4.1 repeating written as a fraction?
I don't know if it should be written over 100 or over 10.
We read 4.1 as four and one-tenth.
The first place after the decimal point is the tenths place.
Thank you! Could you please show your work to how you got to 1/10? It would be easier to explain to my class.
Oh I understand now. Thank you so much!
:-)
You're very welcome.
To write 4.1 repeating as a fraction, we can start by assigning a variable to represent the repeating decimal. Let's use "x" in this case.
To determine where the repetition begins, we can multiply 4.1 repeating by a power of 10 that shifts the repeating part to the left of the decimal point. Since there is one digit repeating (1), we can multiply by 10:
10x = 41.1 repeating
Next, we subtract the original number (4.1 repeating) from this expression:
10x - x = 41.1 repeating - 4.1 repeating
Simplifying the expression:
9x = 37
Now, we can solve for x by dividing both sides of the equation by 9:
9x / 9 = 37 / 9
x = 37/9
So, the fraction equivalent of 4.1 repeating is 37/9.