Brianna made strawberry jam and raspberry jam. She made enough strawberry jam to fill 1/2 of a jar. If she made 2/3 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

*Write your answer as a fraction or as a whole or mixed number.*


To determine how many jars of raspberry jam Brianna made, we follow these steps:

1. **Step 1:** Determine the amount of strawberry jam Brianna made.
   - Brianna made \(\frac{1}{2}\) of a jar of strawberry jam.

2. **Step 2:** Calculate the amount of raspberry jam Brianna made.
   - She made \(\frac{2}{3}\) as much raspberry jam as strawberry jam. Therefore, we multiply the amount of strawberry jam by \(\frac{2}{3}\).

\[
\text{Raspberry jam} = \frac{2}{3} \times \frac{1}{2}
\]

3. **Step 3:** Multiply the fractions.
   - Multiply the numerators and then the denominators:

\[
\text{Raspberry jam} = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3}
\]

So, the raspberry jam will fill \(\frac{1}{3}\) of a jar.

**Final Answer:** The raspberry jam will fill \(\frac{1}{3}\) of a jar.

Do you have any questions or would you like more details? Here are 5 related questions to further your understanding:

1. If Brianna made 1 whole jar of strawberry jam, how much raspberry jam would she make?
2. What fraction of a jar would the raspberry jam fill if she made \(\frac{3}{4}\) of a jar of strawberry jam?
3. If Brianna made enough raspberry jam to fill \(\frac{1}{2}\) of a jar, how much strawberry jam did she make?
4. How much more strawberry jam did Brianna make compared to raspberry jam?
5. If Brianna made \(\frac{5}{6}\) as much raspberry jam as strawberry jam, how many jars of raspberry jam would she have?

**Tip:** When working with fractions, simplify your final answer by dividing the numerator and denominator by their greatest common divisor (GCD).

Explore Brianna's strawberry and raspberry jam problem: how many jars of raspberry jam can be filled if Brianna made enough strawberry jam to fill 1/2 of a jar, and 2/3 as much raspberry jam as strawberry jam. Learn the step-by-step solution with fractions and multiplication of fractions. Suitable for Grades 4-6 students.

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