Arrange these quantities in increasing order

716cm,7m61cm,6.17m show working

To compare these quantities, we need to convert them all to the same unit. Let's convert everything to meters.

716cm = 716 / 100 = 7.16m (converting centimeters to meters by dividing by 100)
7m61cm = 7 + 61 / 100 = 7.61m (converting meters to meters and centimeters to meters)
6.17m = 6.17m

Now we can arrange these quantities in increasing order:

6.17m < 7.16m < 7.61m

So the quantities in increasing order are: 6.17m, 7.16m, 7.61m.