Discussion
Which of the following fraction is greater than 2/3 and less than 4/5 ?
Answer: C
Convert everything to decimals and compare.
\[ \frac{2}{3} = 0.667, \qquad \frac{4}{5} = 0.800 \]
- \( \tfrac{1}{2} = 0.500 \) - too small
- \( \tfrac{9}{10} = 0.900 \) - too large
- \( \tfrac{5}{6} = 0.833 \) - too large
- \( \tfrac{3}{4} = 0.750 \) - in range ✓
So \( \tfrac{3}{4} \) is the only one strictly between the two bounds.
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