How do you convert -8 over 15 into a decimal?

Answer 1

-8/15 means '-8' divided by '15'

Ignoring the negative for the moment.

15)8. 00000 =

We say '15' into '8' won't go. So in the answer we write '0' /

Then shift the decimal point to make it read '80'

We say '15' into '80' goes '5' times , with a remainder of '5'

So the answer becomes

15)8.0000 = 0.5

The remainder '5' is combined with the next decimal zero to read '50'

Then shift the decimal point to make it read '50'

We say '15' into '50' goes '3' times , with a remainder of '5'

So the answer becomes

15)8.0000 = 0.53

We then repeat again

15)8.0000 0.533

You should realise that this repeats unto infinity.

So the answer becomes '0.5333.... ' The three or more dots indicate the mathematicians that the decimals recurs unto infinity.

Put the negative back in ' -0;53333;;;; '

Hence

Fraction '-8/15' = Decimals ' -0.5333.... '

Answer 2

-8/15 = -0.533... recurring.