QQuestionMathematics
QuestionMathematics
Reduce the following fraction to its simplest form:
35 / 45 =
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Answer
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Step 1:I'll solve this step-by-step, carefully following the LaTeX formatting guidelines:
Step 2:: Identify the Greatest Common Factor (GCF)
- 45 = $$5 \times 9
To reduce a fraction to its simplest form, we need to find the largest number that divides both the numerator and denominator evenly. Let's factor the numerator and denominator:
Step 3:: Determine the Greatest Common Factor
The greatest common factor (GCF) is $$5$$.
Step 4:: Divide Both Numerator and Denominator by the GCF
\frac{35}{45} = \frac{35 \div 5}{45 \div 5} = \frac{7}{9}
Step 5:: Verify the Reduction
- The new fraction $$\frac{7}{9}$$ cannot be reduced further because 7 and 9 have no common factors other than 1.
Final Answer
\frac{35}{45} = \frac{7}{9}
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