QQuestionMathematics
QuestionMathematics
Sharon needs help reducing the fraction 56 / 64 . What process would you use to show Sharon how to determine the fraction in its simplest form?
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Answer
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Step 1:I'll solve this step-by-step, using the guidelines you specified:
Step 2:: Identify the Original Fraction
The original fraction is $$\frac{56}{64}
Step 3:: Find the Greatest Common Factor (GCF)
The greatest common factor is $$2^{3} = 8
To reduce the fraction, we need to find the largest number that divides evenly into both the numerator and denominator. Let's factor both numbers:
Step 4:: Divide Both Numerator and Denominator by the GCF
\frac{56 \div 8}{64 \div 8} = \frac{7}{8}
Step 5:: Verify the Reduction
- Check: $$\frac{56}{64} = \frac{7}{8}$$ ✓
- Reduced fraction: \frac{7}{8}
Final Answer
Key Insight for Sharon: Always look for the largest number that divides evenly into both the top and bottom numbers to reduce a fraction to its simplest form.
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