To solve \( 1 \frac{1}{2} - \frac{2}{3} \), we first convert the mixed number into an improper fraction:

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

Now, subtract the fractions:

\[
\frac{3}{2} - \frac{2}{3}
\]

To subtract fractions, we need a common denominator. The least common denominator (LCD) of 2 and 3 is 6. Rewrite the fractions with this denominator:

\[
\frac{3}{2} = \frac{9}{6}, \quad \frac{2}{3} = \frac{4}{6}
\]

Now subtract:

\[
\frac{9}{6} - \frac{4}{6} = \frac{5}{6}
\]

So, \( 1 \frac{1}{2} - \frac{2}{3} = \frac{5}{6} \).

Would you like a more detailed explanation or have any other questions?

Here are 5 related questions you might find helpful:
1. How do you subtract mixed numbers with unlike denominators?
2. What is the process to find a common denominator?
3. How do you convert improper fractions back to mixed numbers?
4. Can you explain how to simplify a complex fraction?
5. How do you add or subtract fractions with different denominators?

**Tip:** When working with mixed numbers, always convert them to improper fractions first to make calculations easier.

Learn how to subtract the mixed number 1 1/2 and the fraction 2/3 by converting the mixed number into an improper fraction and finding a common denominator. This problem explains the step-by-step process, making it suitable for students in Grades 5-7.

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