Write the fraction in the simplest form:
`48/(72)`

Answer

To simplify the fraction \( \frac{48}{72} \), we will follow these steps:

### Step 1: Identify the fraction
We start with the fraction \( \frac{48}{72} \).

### Step 2: Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of the numerator (48) and the denominator (72).

- The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The greatest common factor between 48 and 72 is 24.

### Step 3: Divide both the numerator and denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD (24):

\[ \frac{48 \div 24}{72 \div 24} = \frac{2}{3} \]

### Step 4: Write the simplified fraction
The fraction \( \frac{48}{72} \) in its simplest form is \( \frac{2}{3} \).

### Summary
Thus, the simplest form of the fraction \( \frac{48}{72} \) is \( \frac{2}{3} \).

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