Question

1.) (1/5*3/4)*2/3= 2.) 2/9*(3/10*7/8)=3.) 15/19*(19/25*7/9)*5/7=4.) (10/13*11/12)*(12/55*13/20)=​

Answer 1

Ответ:

1- 0,1 или 1/10

2- 7/120

3- 1/3

4- 0,1 или 1/10

Пошаговое объяснение:

Answer 2

1.) (1/5 * 3/4) * 2/3 = To solve this expression, we can follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). In this case, we have multiplication and division only.

First, let's simplify the expression inside the parentheses: (1/5 * 3/4) = 3/20

Now, let's multiply the result by 2/3: (3/20) * 2/3 = 6/60

Simplifying the fraction gives us the final result: 6/60 = 1/10

Therefore, the answer to 1.) is 1/10.

2.) 2/9 * (3/10 * 7/8) = Again, we'll follow the order of operations.

Let's start by simplifying the expression inside the parentheses: (3/10 * 7/8) = 21/80

Now, let's multiply the result by 2/9: (21/80) * 2/9 = 42/720

Simplifying the fraction gives us the final result: 42/720 = 7/120

Therefore, the answer to 2.) is 7/120.

3.) 15/19 * (19/25 * 7/9) * 5/7 = Following the order of operations:

Let's simplify the expression inside the parentheses first: (19/25 * 7/9) = 133/225

Now, multiply the result by 15/19: (133/225) * 15/19 = 1995/4275

Finally, multiply the result by 5/7: (1995/4275) * 5/7 = 9975/29925

Simplifying the fraction gives us the final result: 9975/29925 = 1/3

Therefore, the answer to 3.) is 1/3.

4.) (10/13 * 11/12) * (12/55 * 13/20) = Applying the order of operations:

Let's simplify the expressions inside the parentheses first: (10/13 * 11/12) = 110/156 (12/55 * 13/20) = 156/110

Now, multiply the two results together: (110/156) * (156/110) = 17160/17160

Simplifying the fraction gives us the final result: 17160/17160 = 1

Therefore, the answer to 4.) is 1.

I hope this explanation helps! Let me know if you have any further questions.