Wipe the area clean with a cleanser
First of all, thoroughly wipe the floor with a pH neutral cleanser so that all the dirt is washed out. You need to make sure there are no stains or dirt on the area to clearly examine any cracks. Using warm water will give better results in this regard.
Locate the area with the cracks
When you are done with cleansing the floor, leave it for some time so the area dries. After the concrete area is dry, carefully locate the areas where there are cracks or flakes so that they are treated accordingly.
Use primer and epoxy mortar
You need to use primer on the affected areas first. Apply primer to the cracked areas and wait until it is dry. Doing this will bond the material to the concrete floor and will give a good clean look in the end. After this, use epoxy mortar to fill in the cracks on the floor. Using a knife for this purpose would be good. Leave the area overnight to make sure it is dry.
Check with levelling bar
In the morning, check the level of the ground with a levelling bar. This will let you know the uneven areas on the floor so that they are treated with a concrete grinder. Carefully mark the areas that are uneven with a pencil so that it is easy for you to locate afterwards.
Use concrete grinder for finishing
Now use the concrete grinder to level the ground. Using the grinder in circular motions will give you the best results. Also, use the grinder slowly so that it does not change the texture of the surrounding area on the floor.