a) \( \frac{35}{45}=\frac{\square}{\square} \)
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The Deep Dive
To solve for the missing numbers, we need to simplify the fraction \( \frac{35}{45} \). By dividing both the numerator and denominator by their greatest common divisor, which is 5, we get \( \frac{7}{9} \). Thus, \( \frac{35}{45}=\frac{7}{9} \), so we can fill in the squares as \( \frac{7}{9} \). Additionally, simplifying fractions is like tidying up after a party—removing the mess (the common factors) to see the neat numbers standing alone! This approach not only makes the fraction easier to work with, but also helps you spot relationships between numbers more clearly!