Answer:
Step-by-step explanation:
[tex]n= 0.142857[/tex]
[tex]1000000n= 0.142857[/tex]
Move the decimal point using the 1000000n
You should get 142857.142857 repeating
Subtract n from both sides [tex]142857.142857- 0.142857[/tex]
You should get 142857 without the repeating decimal.
The equation is now: [tex]142857/999999[/tex] (fraction)
A cool trick to find out if you can reduce that is: [tex]1+4+2+8+5+7[/tex] (equals 27) is the answer to that addition a number divisible by three (yes). So the number 142857 is divisible by 3 which means that you can simplify the fraction.
You can use a calculator for 142857/3 (division) (unless your teacher says you can't)
You should get 47619
You should get[tex]47,619/333333[/tex] (fraction).
I think you can divide that by 3 again. [tex]4+7+6+1+9[/tex] is 27, which is divisible by 3.
Again, you can use a calculator for 47619/3 (division) (unless your teacher says you can't)
You should get 15,873
You should get 15,873/111111 (fraction)
