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Sample Question 12:
Step 1: Rewrite the problem as a fraction of fractions: \(\frac{1-\frac{1}{3}}{1-\frac{1}{2}} = \frac{\frac{2}{3}}{\frac{1}{2}}\).
Step 2: Simplify the division of fractions by multiplying the numerator by the reciprocal of the denominator: \(\frac{2}{3} \times 2\).
Step 3: Perform the multiplication to find the final simplified answer: \(\frac{4}{3}\).
Therefore, the correct answer is \(E\): \(\frac{4}{3}\).
\(\frac{1-\frac{1}{3}}{1-\frac{1}{2}} =\)
\(\text{(A)}\ \frac{1}{3} \qquad \text{(B)}\ \frac{2}{3} \qquad \text{(C)}\ \frac{3}{4} \qquad \text{(D)}\ \frac{3}{2} \qquad \text{(E)}\ \frac{4}{3}\)
Answer Keys
Question 12: ESolutions
Question 12Step 1: Rewrite the problem as a fraction of fractions: \(\frac{1-\frac{1}{3}}{1-\frac{1}{2}} = \frac{\frac{2}{3}}{\frac{1}{2}}\).
Step 2: Simplify the division of fractions by multiplying the numerator by the reciprocal of the denominator: \(\frac{2}{3} \times 2\).
Step 3: Perform the multiplication to find the final simplified answer: \(\frac{4}{3}\).
Therefore, the correct answer is \(E\): \(\frac{4}{3}\).