To determine the number of pieces of cheese that Mimi got, we need to divide the total weight of the cheese (10 kg) by the weight of each piece (5/8 kg).
Let's call the number of pieces of cheese Mimi got "n". Then, we can write the following equation:
10 kg = n * (5/8 kg)
To solve for n, we need to convert both sides of the equation to the same units, such as grams. 1 kg = 1000 g, so:
10 kg * 1000 g/kg = 10,000 g
5/8 kg * 1000 g/kg = 625 g
Now, we can write the equation using the same units:
10,000 g = n * 625 g
To solve for n, we need to divide both sides of the equation by 625 g:
n = 10,000 g / 625 g = 16
So, Mimi divided the block of cheese into 16 pieces, each weighing 5/8 kg.