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/4/ over /6/ means # 4/6 ; a fraction.

As a fraction ot also means '4' is divided by '6'.

So set up adivision bracket.

6 ) 4.000000...... ( Note the decimal pointy and the 'string of zeroes'.

We say '6' into '4' , won't go, so '0' in the answer.

6)4.00000..... = 0.

We now read the division as 6)40.0000...... = 0.

We say '6' into '40' goes '6' times with a remainder of '4'

Hence the answer becomes

6)40.00000 ....= 0.6..

The remainder '4' is places against the next '0' to read '40'. ( NOT 4+0)

Again, we say '6' into '40' goes '6' times with a remainder of '4'

Hence the answer becomes

6)4.00000.... = 0.66 ...

Repeat the process until there is no remainder. You will find in this case , that it repeats to infinity.

So the answer will be 6)4.0000 ..... = 0.6666....

NB The three or more 'dots' to the right of the last number indicate to mathematicians that the number ' recurs to infinity '.

Hence the answer becomes

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lenpollock

Lvl 17
∙ 4d ago
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