Question
Express your answer to the nearest hundredth. \( \frac{11,000}{5,500} \times \frac{2.5}{1.2}= \)
Ask by Rojas Mills. in the United States
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is approximately 4.17.
Solution
Calculate or simplify the expression \( (11000/5500)*(2.5/1.2) \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(\frac{11000}{5500}\right)\left(\frac{2.5}{1.2}\right)\)
- step1: Divide the terms:
\(2\left(\frac{2.5}{1.2}\right)\)
- step2: Divide the terms:
\(2\times \frac{25}{12}\)
- step3: Reduce the numbers:
\(1\times \frac{25}{6}\)
- step4: Multiply:
\(\frac{25}{6}\)
The result of \( \frac{11,000}{5,500} \times \frac{2.5}{1.2} \) is approximately 4.17 when rounded to the nearest hundredth.
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Simplify this solution Bonus Knowledge
To solve the expression \( \frac{11,000}{5,500} \times \frac{2.5}{1.2} \), we start by simplifying each fraction: 1. Simplify \( \frac{11,000}{5,500} = 2 \) since \( 11,000 \div 5,500 = 2 \). 2. Now we compute \( \frac{2.5}{1.2} \): \[ \frac{2.5}{1.2} \approx 2.0833 \text{ (to four decimal places)} \] Now we can multiply these two results together: \[ 2 \times 2.0833 = 4.1666 \] Finally, rounding to the nearest hundredth gives us: \[ \boxed{4.17} \]
