What is the value of the expression ? 1 2/3 / 2 4/5

To find the value of the expression \( \frac{1 \frac{2}{3}}{2 \frac{4}{5}} \), let’s follow these steps:

### Step 1: Convert the Mixed Numbers to Improper Fractions
1. **Convert \(1 \frac{2}{3}\):**
   \[
   1 \frac{2}{3} = \frac{3 \times 1 + 2}{3} = \frac{5}{3}
   \]

2. **Convert \(2 \frac{4}{5}\):**
   \[
   2 \frac{4}{5} = \frac{5 \times 2 + 4}{5} = \frac{14}{5}
   \]

### Step 2: Divide the Fractions
To divide \( \frac{5}{3} \) by \( \frac{14}{5} \), multiply \( \frac{5}{3} \) by the reciprocal of \( \frac{14}{5} \), which is \( \frac{5}{14} \).

\[
\frac{5}{3} \div \frac{14}{5} = \frac{5}{3} \times \frac{5}{14} = \frac{25}{42}
\]

### Final Answer
The value of the expression is:
\[
\frac{25}{42}
\]

Would you like further details on any step, or have any questions?

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Here are 5 related questions to deepen understanding:
1. What is the value of \( 3 \frac{1}{4} / 1 \frac{3}{8} \)?
2. How would you multiply \( 2 \frac{2}{7} \times 1 \frac{5}{9} \)?
3. What is the reciprocal of \( 4 \frac{2}{3} \)?
4. Can you simplify \( \frac{5}{3} \times \frac{7}{5} \)?
5. How can you convert a fraction like \( \frac{25}{42} \) to a decimal?

**Tip:** Always convert mixed numbers to improper fractions before performing operations like division or multiplication.

What is the value of the expression ? 1 2/3 / 2 4/5

Learn how to solve the expression 1 2/3 ÷ 2 4/5 by converting mixed numbers to improper fractions and dividing by multiplying with the reciprocal. This solution provides a clear, step-by-step guide suitable for Grades 5-7.

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