https://file.aiquickdraw.com/mathbot/file/1726943840413uthz2jgr.jpg

The image presents two mathematical expressions comparing \(X\) and \(Y\). Let’s break it down and analyze:

### Given Information:

- **For \(X\):**
  \[
  X = \left( \frac{73}{64} - \frac{72}{64} \right)
  \]

- **For \(Y\):**
  \[
  Y = \left( \frac{64}{73} - \frac{64}{72} \right)
  \]

### Step-by-step analysis:

#### 1. Simplifying \(X\):
\[
X = \frac{73 - 72}{64} = \frac{1}{64}
\]

#### 2. Simplifying \(Y\):
To subtract the two fractions, we need a common denominator.
\[
Y = \frac{64}{73} - \frac{64}{72}
\]
The least common denominator of 73 and 72 is \(73 \times 72 = 5256\).

Rewriting each fraction with the common denominator:
\[
Y = \frac{64 \times 72}{5256} - \frac{64 \times 73}{5256} = \frac{4608}{5256} - \frac{4672}{5256}
\]
\[
Y = \frac{4608 - 4672}{5256} = \frac{-64}{5256}
\]
Simplifying further:
\[
Y = -\frac{1}{82.125}
\]

### Conclusion:
- \(X = \frac{1}{64}\)
- \(Y \approx -\frac{1}{82.125}\)

Since \(X > Y\), the correct relationship between the two quantities is:
\[
X > Y
\]

Would you like further details or explanations on any step?

Here are 5 related questions you might consider:
1. How do you find the least common denominator of two numbers?
2. What is the process for subtracting two fractions?
3. Can you explain how to simplify a negative fraction?
4. How would the answer change if the values of the fractions were slightly different?
5. Why is it important to check the signs when comparing fractions?

**Tip**: When comparing fractions with different denominators, finding a common denominator simplifies the process of comparing their values.

Maka hubungan kuantitas X dan Y yang benar?

Explore the relationship between quantities X and Y by simplifying and comparing fractions with common and different denominators. Learn how to subtract fractions step-by-step, suitable for students in Grades 7-9.

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