Question

[-15/18]×[-3/10]+7/12[-25/26]×[-26/75]×[-1]

Answer 1

Відповідь:

[-15/18]×[-3/10]+7/12[-25/26]×[-26/75]×[-1]

$\frac{1}{18}$

Пояснення:

Answer 2

To solve the expression, let's follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division, and Addition and Subtraction:

1. First, we'll perform any calculations inside parentheses/brackets.
2. Next, we'll handle the multiplication and division from left to right.
3. Finally, we'll add or subtract the remaining terms.

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

Step 1: Calculate inside the brackets. [-15/18] × [-3/10] + 7/12 × [-25/26] × [-26/75] × [-1]

[-15/18] × [-3/10] = (15/18) × (3/10) = 45/180 = 1/4

Step 2: Perform multiplication and division from left to right. 1/4 + 7/12 × [-25/26] × [-26/75] × [-1]

7/12 × [-25/26] × [-26/75] × [-1]

Step 3: Continue with the multiplication and division. 7/12 × [(25/26) × (26/75) × (1)]

Now, we can cancel out common factors in the numerators and denominators:

7/12 × [(1/1) × (1/1) × (1)]

Step 4: Calculate the remaining multiplication. 7/12 × 1

Step 5: Perform the final multiplication: 7/12

So, the final result is 7/12.