Final answer:
The simplest form of the ratio 1400 mg to 3.5 kg is 1:2500, after converting 3.5 kg to 3500000 mg and simplifying the ratio.
Step-by-step explanation:
To express the ratio 1400 mg to 3.5 kg in simplest form, first we need to convert the units so they match. One kilogram is equal to 1000000 milligrams (mg), so 3.5 kg can be converted to mg as follows:
3.5 kg × 1000000 mg/kg = 3500000 mg
Now that both quantities are in mg, you can write the ratio as:
1400 mg : 3500000 mg
To simplify this ratio, divide both sides by the greatest common divisor, which in this case is 1400:
1400 mg ÷ 1400 : 3500000 mg ÷ 1400 = 1 : 2500
So the simplest form of the ratio 1400 mg to 3.5 kg is 1:2500.