Simplify the following fractions:
`(48a+12b)/(a+b)`

Answer

To simplify the fraction \((48a + 12b)/(a + b)\), we can follow these steps:

### Step 1: Factor out the common term in the numerator
We notice that both terms in the numerator \(48a\) and \(12b\) have a common factor of \(12\).

So, we can factor \(12\) out of the numerator:
\[ 48a + 12b = 12(4a + b) \]

### Step 2: Rewrite the fraction with the factored numerator
Now we can rewrite the fraction using the factored form of the numerator:
\[ \frac{48a + 12b}{a + b} = \frac{12(4a + b)}{a + b} \]

### Step 3: Simplify the fraction
At this point, we can see that there are no common factors between the numerator \(12(4a + b)\) and the denominator \(a + b\). Therefore, we cannot simplify further by canceling any terms.

Thus, the simplified form of the fraction is:
\[ \frac{12(4a + b)}{a + b} \]

### Final Answer:
The simplified fraction is:
\[ \frac{12(4a + b)}{a + b} \]

---