QQuestionMathematics
QuestionMathematics
Write the following ratio in its simplest form: 64:18.
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Identify the Greatest Common Factor (GCF)
To simplify the ratio, we need to find the largest number that divides both 64 and 18 evenly.
Step 3:: Find the Factors
- Factors of 64: $$1, 2, 4, 8, 16, 32, 64
- Factors of 18: 1, 2, 3, 6, 9, 18
Step 4:: Determine the Greatest Common Factor
The common factors are $$1$$ and $$2$$.
The greatest common factor is 2.
Step 5:: Divide Both Numbers by the GCF
- $$64 \div 2 = 32
- 18 \div 2 = 9
Final Answer
The simplified ratio is 32:9, which cannot be reduced further.
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