Question

What is 0.142857 repeating as a fraction????

Answer 1

Answer:

Step-by-step explanation:

$n= 0.142857$

$1000000n= 0.142857$

Move the decimal point using the 1000000n

You should get 142857.142857 repeating

Subtract n from both sides $142857.142857- 0.142857$

You should get 142857 without the repeating decimal.

The equation is now: $142857/999999$ (fraction)

A cool trick to find out if you can reduce that is: $1+4+2+8+5+7$ (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$47,619/333333$  (fraction).

I think you can divide that by 3 again. $4+7+6+1+9$ 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)

Answer 2

1/7 I believe is the right answer