Find the equivalent fraction of `(24)/(30)` having numerator 4.

Answer

To find the equivalent fraction of \( \frac{24}{30} \) with a numerator of 4, we can follow these steps:

### Step 1: Identify the original fraction
The original fraction we have is \( \frac{24}{30} \).

### Step 2: Find the factor to reduce the numerator to 4
We need to find a number that we can divide the numerator (24) by to get 4.

To find this number, we can set up the equation:
\[ \frac{24}{k} = 4 \]
Where \( k \) is the factor we need to find.

### Step 3: Solve for \( k \)
To find \( k \), we can rearrange the equation:
\[ k = \frac{24}{4} = 6 \]

### Step 4: Divide both the numerator and the denominator by the same factor
Now that we have \( k = 6 \), we can divide both the numerator and the denominator of the original fraction \( \frac{24}{30} \) by 6:
\[ \frac{24 \div 6}{30 \div 6} = \frac{4}{5} \]

### Step 5: Conclusion
Thus, the equivalent fraction of \( \frac{24}{30} \) with a numerator of 4 is:
\[ \frac{4}{5} \]

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