📘 Question
Find five rational numbers between \( \frac{3}{5} \) and \( \frac{4}{5} \).
✏️ Step-by-Step Solution
Step 1: Convert to equivalent fractions
\[
\frac{3}{5} = \frac{18}{30}, \quad \frac{4}{5} = \frac{24}{30}
\]
—
Step 2: Choose numbers in between
\[
\frac{19}{30}, \frac{20}{30}, \frac{21}{30}, \frac{22}{30}, \frac{23}{30}
\]
—
Step 3: Simplify (optional)
\[
\frac{19}{30}, \frac{2}{3}, \frac{7}{10}, \frac{11}{15}, \frac{23}{30}
\]
—
✅ Final Answer
\[
\boxed{\frac{19}{30}, \frac{2}{3}, \frac{7}{10}, \frac{11}{15}, \frac{23}{30}}
\]
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💡 Key Concept
- Make denominators same
- Pick numerators between values
- Infinite rational numbers exist between any two numbers