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UKMT Senior Mathematical Challenge, 2022 Difficulty 2.0 Junior Find the answer United Kingdom
When the expression ( 2 2 − 1 ) × ( 3 2 − 1 ) × ( 4 2 − 1 ) × ( 5 2 − 1 ) ( 2 × 3 ) × ( 3 × 4 ) × ( 4 × 5 ) × ( 5 × 6 ) \dfrac{(2^2-1)\times(3^2-1)\times(4^2-1)\times(5^2-1)}{(2\times3)\times(3\times4)\times(4\times5)\times(5\times6)} ( 2 × 3 ) × ( 3 × 4 ) × ( 4 × 5 ) × ( 5 × 6 ) ( 2 2 − 1 ) × ( 3 2 − 1 ) × ( 4 2 − 1 ) × ( 5 2 − 1 )
(A) 1 2 \frac{1}{2} 2 1 1 3 \frac{1}{3} 3 1 1 4 \frac{1}{4} 4 1 1 5 \frac{1}{5} 5 1 1 6 \frac{1}{6} 6 1
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