Peel the chilled banana, roughly slice and add the slices to the blender.
Also add the orange segments (chilled) to the blender.
Add sugar, lemon juice and water also to the blender.
Blend the contents for few seconds. You shouldn't be blending this until smooth or for more time, since we are only making a juice and we don't want the fruit fibers to blend it's flavors with the juice.
Once the contents are blended for few seconds, filter the prepared juice through a good strainer.
You can use a spoon to gently stir the contents in the strainer which will make the juice to go through the strainer more easily.
Once the juice is strained into a different container or jug, you may discard the residue pulp collected in the strainer.
Transfer the prepared, filtered banana orange juice to glass cups (with ice cubes added if desired), and serve immediately for best results!