Compare each of the following  pairs of rational numbers 4/3& 4/5

To compare the rational numbers \( \frac{4}{3} \) and \( \frac{4}{5} \), we can use the following approach:

1. **Convert to a common denominator**:
   - The denominators here are 3 and 5. The least common multiple of 3 and 5 is 15.
   - Rewrite each fraction with a denominator of 15.

   \[
   \frac{4}{3} = \frac{4 \times 5}{3 \times 5} = \frac{20}{15}
   \]
   \[
   \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}
   \]

2. **Compare the numerators**:
   - Now we compare \(\frac{20}{15}\) and \(\frac{12}{15}\).
   - Since \(20 > 12\), we conclude that \(\frac{4}{3} > \frac{4}{5}\).

### Final Answer
\[
\frac{4}{3} > \frac{4}{5}
\]

Would you like further explanation or have any questions?

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**Follow-up Questions:**

1. How would you compare two rational numbers if they already have the same denominator?
2. What is the difference between rational and irrational numbers?
3. How would you convert a fraction to a decimal to compare two numbers?
4. Can two rational numbers have the same numerator and still be unequal? Why?
5. How can you quickly tell which of two fractions is larger if they have the same numerator but different denominators?

**Tip:** Converting to a common denominator is one of the most reliable methods to compare fractions accurately.

Compare each of the following pairs of rational numbers 4/3 & 4/5

Learn how to compare rational numbers 4/3 and 4/5 by converting to a common denominator and analyzing the resulting fractions. This approach uses fraction comparison techniques and is suitable for students in Grades 5-7.

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