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question. a. what fraction of 9 is 3? b. what fraction of 5 is \\(\\fra…

Question

question.
a. what fraction of 9 is 3?
b. what fraction of 5 is \\(\frac{1}{2}\\)?

Explanation:

Part a:

Step 1: Understand the problem

To find what fraction of 9 is 3, we use the formula: fraction = part / whole. Here, the part is 3 and the whole is 9.

Step 2: Calculate the fraction

So, the fraction is \( \frac{3}{9} \), which simplifies to \( \frac{1}{3} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 3.

Part b:

Step 1: Understand the problem

To find what fraction of 5 is \( \frac{1}{2} \), we use the formula: fraction = part / whole. Here, the part is \( \frac{1}{2} \) and the whole is 5.

Step 2: Calculate the fraction

So, the fraction is \( \frac{\frac{1}{2}}{5} \). When dividing by a number, it is the same as multiplying by its reciprocal. So, \( \frac{1}{2} \div 5 = \frac{1}{2} \times \frac{1}{5} = \frac{1}{10} \).

Answer:

a. \( \frac{1}{3} \)
b. \( \frac{1}{10} \)