QUESTION IMAGE
Question
question: 18 or 30
which of the following is the fractional representation of the ratio below?
18:48
Step1: Convert ratio to fraction
A ratio \(a:b\) can be written as the fraction \(\frac{a}{b}\). So for the ratio \(18:48\), the fraction is \(\frac{18}{48}\).
Step2: Simplify the fraction
Find the greatest common divisor (GCD) of 18 and 48. The factors of 18 are \(1, 2, 3, 6, 9, 18\) and the factors of 48 are \(1, 2, 3, 4, 6, 8, 12, 16, 24, 48\). The GCD of 18 and 48 is 6. Divide both the numerator and the denominator by 6: \(\frac{18\div6}{48\div6}=\frac{3}{8}\). Wait, there seems to be a typo in the options? Wait, maybe the original ratio is \(18:24\)? No, the user provided \(18:48\). Wait, maybe the options have a typo, but assuming the first option is \(\frac{3}{8}\) (maybe the first option's text is misrendered, like "3/8"), let's check again. Wait, maybe I misread the ratio. Wait, the ratio is \(18:48\), simplifying: divide numerator and denominator by 6, we get \(\frac{3}{8}\). If the first option is \(\frac{3}{8}\) (maybe the text is "3/8"), then that's the answer.
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Assuming the first option is \(\frac{3}{8}\) (e.g., A. 3/8), the answer is A. 3/8 (or the option corresponding to \(\frac{3}{8}\)).