Question

(2 1/2)²:(2 1/4)²:(2 2/3)²×(2 1/5)²=​

Answer 1

Ответ:

121/144

Пошаговое объяснение:

Answer 2

To simplify the expression (2 1/2)²:(2 1/4)²:(2 2/3)²×(2 1/5)², you can follow these steps:

1. First, convert the mixed numbers to improper fractions: (2 1/2)² = (5/2)² (2 1/4)² = (9/4)² (2 2/3)² = (8/3)² (2 1/5)² = (11/5)²

2. Square each of these fractions: (5/2)² = (5/2) * (5/2) = 25/4 (9/4)² = (9/4) * (9/4) = 81/16 (8/3)² = (8/3) * (8/3) = 64/9 (11/5)² = (11/5) * (11/5) = 121/25

3. Now, rewrite the expression with these squared fractions: (25/4):(81/16):(64/9)*(121/25)

4. To divide fractions, invert the second fraction and multiply: (25/4):(81/16) = (25/4) * (16/81)

5. Multiply the fractions: (25/4) * (16/81) = (25 * 16) / (4 * 81) = 400/324

6. Simplify the result: 400/324 can be simplified by finding the greatest common divisor (GCD) of 400 and 324, which is 4. Divide both the numerator and denominator by 4: (400/4) / (324/4) = 100/81

So, the simplified expression is 100/81.