Gnocchi with Quick Meat Sauce

Name: Gnocchi with Quick Meat Sauce
Ingredients: 1 tablespoon olive oil; 3 pounds ground chuck (80 percent lean); 1 medium yellow onion, diced small; 3 carrots, shredded; 2 cloves garlic, roughly chopped; Salt and pepper; 2 cans (28 ounces each) whole peeled tomatoes, pureed in a blender; 1 pound fresh or frozen gnocchi, cooked according to package instructions; ¼ cup grated Parmesan (1 ounce); Fresh basil leaves (optional)