Simply frying off the mince like normal, but then straining it will serve the same purpose and leave you with a much more edible product at the end of it.
Fried rice here is a go to. It is seriously scarey how cheap and easy it is to make and how many veggies I can convince the girls to eat when I make it. You can put almost anything in it, but even just a bag of frozen, small dice veg like the carrots/corn/caps/peas mixes work well. Soy and oyster sauce on and it will last us days. A batch with fully fresh veg, ham and egg will cost me about $10, and probably serve 6-9 serves depending on how much the girls eat. If I can, I buy a few prawns for DD1, she lurves them, I can get a good 8 for only a couple of dollars.
There is a chowder recipe I posted a couple of years ago, I'll see if I can find the link.
Cooks in the microwave in about 20 minutes, is delicious and costs about $5 to make. Seriously cheap and awesome.
Look for any recipes that work with long slow cooking for meat - they will use whole cuts of meat, rather than mince or sausages, and they will be almost as cheap, like gravy beef. Less fat for you, more flavour for your food, and less fillers.
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