Question

Use long division to determine the decimal equivalent of a fraction with numerator 5 and denominator 9.

0.3 bar
0.4 bar
0.5 bar
0.6 bar

Answer 1

Any ideas/guesses?

Answer 2

.5 or .6

Answer 3

was .5

Answer 4

I was trying to reply and break it down for you.. but it wouldn't let me type, my bad.

Answer 5

So essentially what that little bar on top means is that the number under the bar repeats again and again so \( 0.\overline{5} = 0.5555555555555\)

And the 5 repeats. What happens when you take a calculator and do 5 divided by 9?
You'll get 0.5555555
We use that bar to signify that the 5 repeats forever

Another example is
5/11 = 0.4545454545
The 45 repeats again and again
So if we put a bar on the 45, than that means we have 0.454545 repeating on and on
Like this \(0.\overline{45}\)

Answer 6

Hopefully that makes sense :)

Answer 7

thank yew

Answer 8

Of course, my pleasure!