Question

( - 2,5 – 15/6 ) ÷ 14/9 – 35/9 × ( - 21/4) =

Answer 1

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Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Here's the step-by-step solution:

1. First, deal with the parentheses: (-2.5 - 15/6) ÷ (14/9 - 35/9 × (-21/4))

2. Next, simplify inside the parentheses: (-2.5 - 2.5) ÷ (14/9 - 35/9 × (-21/4))

3. Continue simplifying: (-5) ÷ (14/9 - (-735/36))

4. Now, work inside the second set of parentheses: (-5) ÷ (14/9 + 735/36)

5. Find a common denominator for the fractions inside the parentheses: (-5) ÷ (16/9)

6. To divide by a fraction, you can multiply by its reciprocal: (-5) × (9/16)

7. Multiply the numbers: (-5 * 9) / 16

8. Calculate the numerator: -45 / 16

So, the final result is -45/16.