You've asked about '4 3/5', and honestly, it's one of those things that looks a bit more complicated than it actually is. Think of it like this: you're at a bakery, and you order four whole pies, plus an extra three-fifths of another pie. That's exactly what 4 3/5 represents.
This is what we call a 'mixed number'. It's a neat way to combine a whole number (the '4' in our case) with a fraction (the '3/5'). The whole number tells you how many complete units you have, and the fraction tells you about a part of another unit.
So, that '3/5' part? It means you've taken a whole pie, divided it into five equal slices, and you're talking about three of those slices. When you put it together with the four whole pies, you've got a total of four full pies and then that extra bit.
Why do we use mixed numbers? Well, they're often more intuitive for everyday situations. If someone says they ate 4 3/5 pizzas, you immediately picture four whole pizzas and a bit more, which is easier to grasp than, say, 23/5 pizzas (which is the same amount, just in an 'improper fraction' form).
Converting it to that improper fraction, 23/5, is a common step in math. You'd multiply the whole number (4) by the denominator of the fraction (5), which gives you 20. Then, you add the numerator of the fraction (3) to that result, making it 23. The denominator stays the same, so you end up with 23/5. It's like counting all those pie slices individually.
But at its heart, 4 3/5 is just a straightforward way of saying 'four whole things and three out of five parts of another thing'. It’s a language of quantity that helps us describe the world around us, from sharing desserts to measuring ingredients.
