Question

((9/14-11/24)*21/25+13/25 : 14/15):2,6+0,4​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression step by step, we'll 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 how to solve your expression:

1. Start with the innermost parentheses:

   ((9/14 - 11/24) * 21/25 + 13/25) / (14/15) / 2.6 + 0.4

2. Calculate the values inside the innermost parentheses:

   (15/28 * 21/25 + 13/25) / (14/15) / 2.6 + 0.4

3. Perform the multiplications inside the parentheses:

   (315/700 + 13/25) / (14/15) / 2.6 + 0.4

4. Add the fractions inside the parentheses:

   (315/700 + 364/700) / (14/15) / 2.6 + 0.4

5. Combine the fractions inside the parentheses:

   679/700 / (14/15) / 2.6 + 0.4

6. Divide by the fraction (14/15):

   (679/700) / (14/15) / 2.6 + 0.4

7. Divide fractions by multiplying by the reciprocal:

   (679/700) * (15/14) / 2.6 + 0.4

8. Simplify the fractions:

   (9795/9800) / 2.6 + 0.4

9. Divide the fractions:

   3.99336734694 + 0.4

10. Add the two results:

    4.39336734694

So, the result of the expression is approximately 4.3934 (rounded to four decimal places).