I'm stuck wouldnt the 2/3 and 3/2 cancel out

It sounds like you're dealing with a situation where you have the fractions \( \frac{2}{3} \) and \( \frac{3}{2} \), and you're wondering if they cancel each other out. Let's clarify what happens when you multiply these fractions.

When you multiply two fractions, you multiply the numerators and the denominators:

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

So, yes, \( \frac{2}{3} \) and \( \frac{3}{2} \) effectively "cancel out" when multiplied, because their product is 1.

This cancellation occurs because one fraction is the reciprocal of the other. When you multiply a number by its reciprocal, the result is always 1.

Let me know if you'd like more details, or if you have questions!

Here are some related questions you might find helpful:
1. What happens when you divide \( \frac{2}{3} \) by \( \frac{3}{2} \)?
2. How can you simplify a product of fractions?
3. What does it mean for a fraction to have a reciprocal?
4. How do you handle multiplying fractions with variables involved?
5. Can two fractions cancel out in other ways besides multiplication?

**Tip:** When multiplying fractions, always look for common factors between numerators and denominators, as this can help simplify the result even before multiplying.

Understand how to multiply fractions, specifically how 2/3 and 3/2 cancel out when multiplied, resulting in 1. This explanation covers the concept of reciprocals and how fractions interact in multiplication. Suitable for students in Grades 6-8.

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