express 0.18 in the form of p and q
Answers
Answered by
0
Answer:
18/100
Or
9/50
Hope it helps
Answered by
3
Step-by-step explanation:
Let's begin by setting
x
equal to our repeating fraction
x
=
0.18181818
...
The next step is a bit of a trick where we multiply by a power of 10 such that what remains to the right of the decimal is the repeating fraction itself, i.e.
100
x
=
18.1818181818
...
=
18
+
0.18181818
...
which can be re-written
100
x
=
18
+
x
subtracting
x
from both sides we get
99
x=18
and finally
x=18/99
=2/11
Similar questions