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QUESTION IMAGE

ex. \\(\\text{ratio} = \\frac{\\text{length}}{\\text{width}}\\) \\\\fra…

Question

ex. \\(\text{ratio} = \frac{\text{length}}{\text{width}}\\)

\\\frac{2.3\text{ km}}{120\text{ m}}\\

Explanation:

Convert kilometers to meters

$$ 2.3 \text{ km} = 2.3 \times 1000 \text{ m} = 2300 \text{ m} $$

Set up the ratio with matching units

$$ \text{Ratio} = \frac{2300 \text{ m}}{120 \text{ m}} = \frac{2300}{120} $$

Simplify the fraction to lowest terms

$$ \frac{2300}{120} = \frac{230}{12} = \frac{115}{6} $$

Answer:

\(\frac{115}{6}\) (or \(115:6\))