Final answer:
To simplify the expression 4 1/5 kg : 630 g, convert the kilograms to grams by multiplying by 1000 to get 4200 g, then divide 4200 g by 630 g to get approximately 6.67.
Step-by-step explanation:
To simplify the given expression, which is 4 1/5 kg : 630 g, we need first to convert kilograms to grams since we are dividing by grams. One kilogram is equal to 1000 grams, so to convert 4 1/5 kilograms (which is 4.2 kg) into grams, we multiply by 1000:
4.2 kg × 1000 g/kg = 4200 g.
Now we have the weights in the same unit and can proceed with the division:
4200 g ÷ 630 g = 6.6666...
So the simplified result of 4 1/5 kg divided by 630 g is approximately 6.67 when rounded to two decimal places.