Final Answer:
To divide two fractions with common denominators, divide the numerators of the fractions directly.
Explanation:
When dividing fractions with common denominators, it's simplified by dividing the numerators directly while keeping the common denominator unchanged. For instance, if you have fractions like 3/5 ÷ 2/5, it's similar to solving 3 ÷ 2, disregarding the denominators. This method arises from the fact that dividing two fractions essentially means dividing their numerators by each other while leaving the denominators unaltered. It simplifies to an integer division problem, where only the numerators are divided, retaining the denominator.
This method is applicable when fractions share the same denominator, making the division process much simpler by focusing only on the numerators. For instance, dividing 7/9 by 4/9 is equivalent to dividing 7 by 4 directly, keeping the denominator unchanged as 9. This approach streamlines the division of fractions, especially when they have common denominators, and allows for straightforward calculations.