Final answer:
To find the quotient of 6L divided by 27L and 600mL, we first convert 600mL to litres, which is 0.600L, add it to 27L for a total of 27.600L, and then divide 6L by 27.600L to get the quotient, approximately 0.2174.
Step-by-step explanation:
To find the quotient of 6 divided by 27 litres and 600 millilitres, we first need to convert the measurements into the same unit. Converting millilitres to litres is necessary because there are 1000 millilitres in a litre. To convert 27 litres and 600 millilitres to just litres, we don't need to do anything with the 27 litres since it's already in the correct unit, so we simply look at the 600 millilitres.
To convert 600 milliliters to litres, we move the decimal point three places to the left, because 1 litre is equal to 1000 millilitres. Therefore, 600 millilitres is equal to 0.600 litres. We add this to the 27 litres to get a total of 27.600 litres.
Now we have both values in litres, which allows us to perform the division:
- 6 L ÷ (27 L + 0.600 L) = 6 L ÷ 27.600 L
Upon calculation, the quotient would be approximately 0.2174 (rounded to four decimal places).
In conclusion, when you compare the two numbers, 6 litres is less than 27 litres and 600 millilitres, which is the same as saying 6 L < 27.600 L.