Question

8/15*11/8:(2/5+7/10)*3/2

Answer 1

Ответ во вложении...........

Answer 2

To solve the expression, you should follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders (i.e., powers and square roots, etc.)
3. Multiplication and Division (left-to-right)
4. Addition and Subtraction (left-to-right)

In your expression:

8/15 * 11/8 : (2/5 + 7/10) * 3/2

Let's break it down step by step:

1. First, calculate the sum inside the parentheses:

2/5 + 7/10 = 4/10 + 7/10 = 11/10

2. Now, the expression becomes:

8/15 * 11/8 : (11/10) * 3/2

3. Next, perform the multiplications and divisions from left to right:

8/15 * 11/8 = (8 * 11) / (15 * 8) = 88/120 = 22/30

Now, the expression is:

(22/30) : (11/10) * 3/2

4. Continue with the division and multiplication:

(22/30) : (11/10) = (22/30) * (10/11) = (22/3) * (1/11)

Now, you have:

(22/3) * (1/11) * 3/2

5. Finally, calculate the remaining multiplication:

(22/3) * (1/11) = 22/33

Now, the expression is:

(22/33) * 3/2

6. And continue with the last multiplication:

(22/33) * (3/2) = (22/33) * (3/2) = (22/33) * (3/2) = (22/33) * (3/2) = (22/33) * (1.5)

Now, calculate the result:

(22/33) * 1.5 = (22 * 1.5) / 33 = 33/33 = 1

So, the final result of the expression is 1.