QQuestionMathematics
QuestionMathematics
Explain the following ratio in the simplest form:
78:100
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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 Ratio
The given ratio is $$78:100$$, which represents the relationship between 78 and 100.
Step 3:: Simplify the Ratio
To simplify this ratio, we need to find the greatest common factor (GCF) of 78 and 100.
Step 4:: Find the Greatest Common Factor
- $$100 = 2^{2} \times 5^{2}
Let's factor both numbers: The common factor is 2.
Step 5:: Divide Both Numbers by the GCF
\frac{78}{2} : \frac{100}{2} = 39:50
Step 6:: Check if Further Simplification is Possible
39 and 50 have no common factors other than 1, so this is the simplest form.
Final Answer
39:50
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