Show that the following fractions are in their simplest form:
`4/(9)`

Answer

To show that the fraction \( \frac{4}{9} \) is in its simplest form, we will follow these steps:

### Step 1: Identify the Numerator and Denominator
The numerator of the fraction is 4, and the denominator is 9.

### Step 2: Find the Factors of the Numerator
The factors of 4 are:
- 1
- 2
- 4

### Step 3: Find the Factors of the Denominator
The factors of 9 are:
- 1
- 3
- 9

### Step 4: Determine the Highest Common Factor (HCF)
Now, we need to find the highest common factor (HCF) of the numerator and denominator. The common factors of 4 and 9 are:
- 1

The highest common factor is 1.

### Step 5: Conclusion
Since the highest common factor of 4 and 9 is 1, we can conclude that the fraction \( \frac{4}{9} \) is in its simplest form.

### Final Statement
Thus, \( \frac{4}{9} \) is in the simplest form.

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