Question

1 5/11 : 1 1/11 - 1 1/9 * 1 1/5 - 7 5/7

Answer 1

Ответ:

-7 6131/7623

Пошаговое объяснение:

-7 6131/7623

Answer 2

To simplify the expression, you can 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). In this case, there are no parentheses or exponents, so you'll perform multiplication and division from left to right, and then addition and subtraction from left to right.

1. Start with the multiplication and division: 5/11 * 1 1/9 = (5/11) * (1 1/9) = 5/11 * 10/9 = (5 * 10) / (11 * 9) = 50/99

2. Now, continue with the expression: 1 5/11 - 50/99 * 1 1/5 - 7 5/7

3. Perform the multiplication: 50/99 * 1 1/5 = (50/99) * (1 1/5) = 50/99 * 6/5 = (50 * 6) / (99 * 5) = 300/495

4. Substitute the results back into the expression: 1 5/11 - 300/495 - 7 5/7

5. Convert the mixed numbers to improper fractions: 1 5/11 = (11 * 1 + 5)/11 = 16/11 7 5/7 = (7 * 7 + 5)/7 = 54/7

6. Substitute the improper fractions into the expression: 16/11 - 300/495 - 54/7

7. Find a common denominator for the fractions. The common denominator for 11, 495, and 7 is 495:

   • To get the denominator to 495, you need to multiply 16/11 by 45 (since 45 * 11 = 495).
   • To get the denominator to 495, you need to multiply 300/495 by 1 (since 495 * 1 = 495).
   • To get the denominator to 495, you need to multiply 54/7 by 99 (since 99 * 7 = 495).

8. Rewrite the fractions with a common denominator:

   (16 * 45)/495 - (300 * 1)/495 - (54 * 99)/495

9. Perform the subtraction:

   (720/495) - (300/495) - (5336/495)

10. Continue with the subtraction:

(720 - 300 - 5336)/495

11. Calculate the numerator:

720 - 300 - 5336 = -5616

12. The final result is:

-5616/495

Now, you can simplify this fraction further by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD:

GCD of 5616 and 495 is 99.

Dividing both the numerator and denominator by 99:

(-5616/99) / (495/99) = -64/5

So, the simplified result of the expression is -64/5.