Question

(1+2/3)×(1+2/5)×(1+2/7)×(1+2/9)×(1+2/11)×(1+2/13)​

Answer 1

Ответ:

(1+2/3)•(1+2/5)•(1+2/7)•(1+2/9)•(1+2/11)•(1+2/13)=1 целая 2/3•1 целая 2/5•1 целая 2/7•1 целая 2/9•1 целая 2/11•1 целая 2/13=5/3•7/5•9/ 7•11/9•13/11•15/13=15/3=5

Объяснение:

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Answer 2

To calculate the value of the expression (1+2/3) × (1+2/5) × (1+2/7) × (1+2/9) × (1+2/11) × (1+2/13), follow these steps:

Step 1: Simplify each term within the parentheses. (1+2/3) = 3/3 + 2/3 = 5/3 (1+2/5) = 5/5 + 2/5 = 7/5 (1+2/7) = 7/7 + 2/7 = 9/7 (1+2/9) = 9/9 + 2/9 = 11/9 (1+2/11) = 11/11 + 2/11 = 13/11 (1+2/13) = 13/13 + 2/13 = 15/13

Step 2: Combine all the simplified terms: (5/3) × (7/5) × (9/7) × (11/9) × (13/11) × (15/13)

Step 3: Cancel out any common factors in the numerators and denominators: (5/3) × (7/5) × (9/7) × (11/9) × (13/11) × (15/13) = (5/3) × (3/1) × (3/7) × (11/1) × (13/11) × (15/13)

Step 4: Multiply the remaining terms: = (5/1) × (1/1) × (1/7) × (11/1) × (1/11) × (15/1) = 5 × 1 × 1/7 × 11 × 1/11 × 15 = 5/7 × 15

Step 5: Multiply the numbers: = 75/7

So, the value of the expression is 75/7, which is approximately 10.71 when rounded to two decimal places.