Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one:
is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one:
is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
<span>four over nine of a mile in four over five of an hour
= 4 4
----- / ----
9 5
</span>= 4 5
----- * ----
9 4
= 20
-------
36
= 5
-----
9
answer is : <span>four ninths over four fifths = five over nine mile per hour (first choice)</span>
Answer:
none of these terms are like terms