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Step 1
Preheat oven to 350°F and spray an 11 x 8-inch rectangular removable-bottom tart pan with nonstick spray.
Step 2
Whisk together flour, ground almonds, sugar, and salt in a medium bowl. Cook butter in a heavy saucepan over medium heat, stirring constantly until it foams, turns clear, and then turns a deep brown, about 6 minutes.
Step 3
Add brown butter to flour mixture and stir until incorporated. Press crust evenly and firmly in the bottom and up the sides of prepared tart pan. Slide tart pan onto a baking sheet and place in the oven.
Step 4
for 13 to 15 minutes, until slightly puffed and set. Cool crust completely on a wire rack and increase oven temperature to 375°F.
Step 5
Place almond paste and butter in a food processor; process until blended. Add eggs; process until smooth. Add sugar, flour, salt, and almond extract; process until combined. Spoon mixture into cooled tart shell and spread into an even layer with an offset spatula.
Step 6
Arrange peach slices evenly over filling and sprinkle with sugar. Slide tart pan onto a baking sheet and place in the oven.
Step 7
for 30 to 35 minutes, until filling is puffed and tart is golden. Cool tart completely on a wire rack before releasing from the pan. Serve tart dusted with powdered sugar.
Step 8
Store leftovers overnight in an airtight container in the refrigerator and warm before serving.