Rinse apricots, cut in half and discard pits. Place on a large baking sheet cut-side-up and bake at 400˚F for 15 min (it's ok to crowd the fruit in a smaller pan). Remove from oven and let cool until just warm enough to handle.
Transfer to blender or food processor in batches and process until a smooth puree.
Pour puree into a large mixing bowl. Add 1/2 cup sugar, or to taste and stir until sugar is incorporated.
How to Dry Fruit Leather with Sunshine (my favorite way):
Spread puree between 1/8" to 1/4" thick on a large parchment paper or plastic wrap covered baking sheet, extending the paper slightly past the rim. This recipe fills 3 large baking sheets. Set in the sunshine until no longer sticky when you poke the centers. It can fully dry out in 1 day if it's hot out or 2 days if warm and sunny (store indoors uncovered overnight).
How to Make Fruit Leather in the Oven:
Spread puree on a large cookie sheet lined with parchment paper and place baking sheets in a preheated oven at 200˚F for about 3 to 3 1/2 hours, depending on how thick you spread it. It's done when it no longer sticks to your fingers when you poke the center. Once at room temp, roll and store at room temperature in large ziploc or foodsaver bags.