Question

Решить 3 1/2×6/7-2,25:9/20​

Answer 1

Ответ: 7/2*6/7-9/4*20/9= 3-5= -2

Answer 2

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

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Now, let's solve the expression step by step:

Step 1: Convert mixed number to improper fraction 3 1/2 = (3 * 2 + 1) / 2 = 7 / 2

Step 2: Calculate the first multiplication and subtraction (7/2) * (6/7) - 2.25 / (9/20)

Step 3: Perform the first multiplication (7/2) * (6/7) = (7 * 6) / (2 * 7) = 42 / 14

Step 4: Simplify the fraction 42/14 to its lowest terms 42/14 = 3

Step 5: Perform the division 2.25 / (9/20) = 2.25 * (20/9) = (2.25 * 20) / 9 = 45 / 9

Step 6: Simplify the fraction 45/9 to its lowest terms 45/9 = 5

Now, the expression becomes: 3 - 5

Step 7: Perform the subtraction 3 - 5 = -2

So, the result of the expression is -2.