Question
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Tutor-Verified Answer
Answer
\[
\frac{u}{2} + \frac{16}{v}
\]
Solution
1. Start with the expression:
\[
\frac{1}{2} \cdot u + 16 \div v
\]
2. Recall that multiplication and division have the same precedence. We compute them from left to right.
3. Multiply:
\[
\frac{1}{2} \cdot u = \frac{u}{2}
\]
4. Divide:
\[
16 \div v = \frac{16}{v}
\]
5. Combine the two results to obtain:
\[
\frac{u}{2} + \frac{16}{v}
\]
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Simplify this solution Beyond the Answer
Let's break this expression down! First, make sure to apply the order of operations correctly: multiplication and division come before addition. So, you’d multiply \( \frac{1}{2} \) by \( u \) first, and then divide 16 by \( v \). This gives you \( \frac{1}{2}u + \frac{16}{v} \). Now, if you're looking to simplify or evaluate this expression, be mindful of the values you assign to \( u \) and \( v \). If \( v = 0\), for example, you'd be in a bit of a pickle since division by zero is a no-go! Always double-check your inputs to keep calculations smooth sailing!
