Question

emmet divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. he put 1/6 of a liter into each bottle. how many smaller bottles did emmet fill? write your answer as a fraction or as a whole or mixed number. \boxed{} bottles submit

Explanation:

Step1: Identify the operation

To find the number of bottles, we divide the total amount of fertilizer by the amount per bottle. The total amount is $\frac{1}{2}$ liter and per bottle is $\frac{1}{6}$ liter. So we use division: $\frac{1}{2} \div \frac{1}{6}$.

Step2: Divide the fractions

When dividing fractions, we multiply by the reciprocal. So $\frac{1}{2} \div \frac{1}{6} = \frac{1}{2} \times \frac{6}{1}$.

Step3: Multiply the fractions

Multiply the numerators and denominators: $\frac{1\times6}{2\times1} = \frac{6}{2}$.

Step4: Simplify the result

Simplify $\frac{6}{2}$ to get 3.

Answer:

3