Solve the Fraction: 9/(42+7) - Division with Compound Denominator

To solve the expression $\frac{9}{42+7}$, we need to follow the order of operations, commonly known by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). In this question, we focus on Parentheses and Addition.

Step-by-Step Solution:

• First, we identify the operation inside the parentheses: $42 + 7$.
• According to the order of operations, we must solve what is inside the parentheses before dealing with any division. So, we perform the addition first.
• Calculate $42 + 7$ to get $49$.
• We then substitute $49$ back into the original expression in the place of $42 + 7$.
• This gives us a simplified expression: $\frac{9}{49}$.
• Since $9$ and $49$ do not have any common factors aside from $1$, this fraction cannot be simplified further.

Therefore, the final answer is $\frac{9}{49}$.