QQuestionMathematics
QuestionMathematics
Find the greatest common factor and use it to reduce 51 / 60 to its lowest terms.
A. 1
B. 2
C. 3
D. 17
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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:: Find the factors of the numerator 51
51 = 3 \times 17
Step 3:: Find the factors of the denominator 60
60 = 2^{2} \times 3 \times 5
Step 4:: Identify the common factors
The common factor between 51 and 60 is 3.
Step 5:: Divide both numerator and denominator by the greatest common factor (3)
\frac{51}{60} = \frac{51 \div 3}{60 \div 3} = \frac{17}{20}
Step 6:: Verify the reduction
- Original fraction: $$\frac{51}{60}
- Reduced fraction: \frac{17}{20} - Common factor used: 3
Final Answer
The greatest common factor is 3, which reduces 51 / 60 to 17 / 20 in its lowest terms.
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