Question
Solve the following proportion for \( u \). \[ \frac{u}{12}=\frac{3}{11} \] Round your answer to the nearest tenth.
Ask by Mullins Blake. in the United States
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( u \approx 3.3 \)
Solution
1. Begin with the given proportion:
\[
\frac{u}{12} = \frac{3}{11}
\]
2. Cross-multiply to solve for \( u \):
\[
11u = 3 \times 12
\]
3. Calculate the product on the right side:
\[
11u = 36
\]
4. Divide both sides by \( 11 \) to isolate \( u \):
\[
u = \frac{36}{11}
\]
5. Convert \( \frac{36}{11} \) to a decimal:
\[
u \approx 3.2727
\]
6. Round to the nearest tenth:
\[
u \approx 3.3
\]
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Simplify this solution Extra Insights
To solve the proportion \( \frac{u}{12}=\frac{3}{11} \), we can cross-multiply. This means we will multiply the numerator of one fraction by the denominator of the other fraction: \[ u \cdot 11 = 3 \cdot 12 \] This simplifies to: \[ 11u = 36 \] Next, we divide both sides by 11 to isolate \( u \): \[ u = \frac{36}{11} \] Now, we can calculate \( \frac{36}{11} \): \[ u \approx 3.2727 \] Rounding to the nearest tenth, we find: \[ u \approx 3.3 \] So the final answer is: \[ u \approx 3.3 \]
