Simplify. Write your answer using whole fumbers and variables. $$ \frac{15 p+12}{33} $$

Question

UpStudy AI · Accepted Answer

We start with the expression:

$$
\frac{15p+12}{33}
$$

**Step 1: Factor the numerator**

Both $$15p$$ and $$12$$ are divisible by $$3$$. Factor $$3$$ out of the numerator:

$$
15p + 12 = 3(5p+4)
$$

So the expression becomes:

$$
\frac{3(5p+4)}{33}
$$

**Step 2: Express the denominator as a product of factors**

Notice that $$33$$ can be written as:

$$
33 = 3 \times 11
$$

**Step 3: Cancel the common factor**

The factor $$3$$ appears in both the numerator and denominator:

$$
\frac{3(5p+4)}{3 \times 11} = \frac{5p+4}{11}
$$

Thus, the simplified expression is:

$$
\frac{5p+4}{11}
$$
$$\frac{5p + 4}{11}$$

Simplify. Write your answer using whole fumbers and variables. \( \frac{15 p+12}{33} \)