QQuestionMathematics
QuestionMathematics
What is the ratio of 144:12 in simplest form?
A) 12:1
B) 6:1
C) 4:1
D) 3:1
12 months agoReport content
Answer
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Step 1:I'll solve this step by step following the LaTeX formatting guidelines precisely:
Step 2:: Identify the given ratio
The original ratio is $$144:12
Step 3:: Simplify the ratio by dividing both numbers by their greatest common factor
To simplify, I'll divide both 144 and 12 by their greatest common divisor (GCD)
Step 4:: Find the GCD
GCD(144, 12) = 12
Step 5:: Divide both numbers by the GCD
\frac{144}{12} : \frac{12}{12} = 12:1
Step 6:: Verify the simplification
12:1$$ is indeed the simplest form of the original ratio
Final Answer
Key insights: - When simplifying ratios, divide both numbers by their greatest common factor - The goal is to reduce the ratio to its lowest terms - In this case, 12 divides evenly into both 144 and 12, resulting in 12:1
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