Question

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Answer 1

$(1 \frac{1}{2} ) {}^{2} \div ( 3 \frac{1}{4} ) {}^{2} \div (3 \frac{2}{3} ) {}^{2} \div (1 \frac{1}{5} ) {}^{2} = \\ \frac{(1 \frac{1}{2}) {}^{2} }{(3 \frac{1}{4} \times 3 \frac{2}{3} \times 1 \frac{1}{5}) {}^{2} } = \\ \\ \frac{(1 \frac{1}{2}) {}^{2} }{( \frac{13}{4} \times \frac{11}{3} \times \frac{6}{5}) {}^{2} } = \\ \\ \frac{(1 \frac{1}{2} ) {}^{2} }{( \frac{143}{10}) {}^{2} } = \frac{(1 \frac{1}{2}) {}^{2} }{ \frac{20449}{100} } = \frac{100 \times \frac{9}{4} }{20449} = \frac{25 \times 9}{20449} = \frac{225}{20449}$

Answer 2

Ответ:

Пошаговое объяснение:

(1. 1/2)² = (3/2)² = 9/4

(3. 1/4)² = (13/4)² = 169/16

(3. 2/3)² = (11/3)² = 121/9

(1. 1/5)² = (6/5)² = 36/25

9/4 : 169/16 : 121/9 : 36/25 =

9/4 * 16/169 * 9/121 * 25/36 =

9/1 * 4/169 * 1/121 * 25/4 =

36/169 * 25/484 = 9/169 * 25/121 = 225/20449