which fraction is greater and why	7/6 or 6/7?

To compare the two fractions \( \frac{7}{6} \) and \( \frac{6}{7} \), we can cross-multiply and compare the products:

- Multiply the numerator of the first fraction by the denominator of the second fraction:
  \[
  7 \times 7 = 49
  \]
- Multiply the numerator of the second fraction by the denominator of the first fraction:
  \[
  6 \times 6 = 36
  \]

Since \( 49 > 36 \), it means \( \frac{7}{6} > \frac{6}{7} \).

### Why:
- \( \frac{7}{6} \) is greater than 1, because its numerator is larger than its denominator.
- \( \frac{6}{7} \) is less than 1, because its numerator is smaller than its denominator.
- A fraction greater than 1 is always larger than a fraction less than 1.

Would you like further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you compare two fractions with larger numbers?
2. What is the decimal form of \( \frac{7}{6} \) and \( \frac{6}{7} \)?
3. How does the cross-multiplication method work for comparing fractions?
4. What happens if the numerator and denominator are the same in a fraction?
5. Can you find a visual way to compare these two fractions?

**Tip**: A fraction greater than 1 has a numerator larger than the denominator, while a fraction less than 1 has the opposite.

which fraction is greater and why 7/6 or 6/7?

Discover how to compare the fractions 7/6 and 6/7 using cross-multiplication. Learn why 7/6 is greater, as it is larger than 1, while 6/7 is less than 1. This explanation is perfect for students in Grades 6-8.

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