QQuestionMathematics
QuestionMathematics
Reduce the fraction 48 / 54 to its simplest form.
Select one of the following options:
A. 3 / 10
B. 5 / 15
C. 4 / 10
D. 4 / 12
12 months agoReport content
Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Find the Greatest Common Factor (GCF)
- Denominator: $$54 = 2 \times 3^{3}
To reduce a fraction, we need to find the largest number that divides both the numerator and denominator evenly. Let's factor the numerator and denominator:
Step 3:: Identify the Common Factors
The common factors are $$2 \times 3 = 6
Step 4:: Divide Both Numerator and Denominator by the GCF
\frac{48}{54} = \frac{48 \div 6}{54 \div 6} = \frac{8}{9}
Step 5:: Verify the Reduction
- $$8 \div 1 = 8
- 9 \div 1 = 9 - No further reduction is possible
Final Answer
Note: None of the given options match the correct answer. The closest is B (5 / 15), but this is not equivalent to the reduced fraction \frac{8}{9}.
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