Question

(3 3/11 × 1 2/9 - 2 3/8) : 2 7/16 - 6

Answer 1

Пошаговое объяснение:

Ответ :-16/3 или 5,3 а также - 5 1/3

Answer 2

Ответ: -5 1/3.

Пошаговое объяснение:

(3 3/11 * 1 2/9 - 2 3/8) : 2 7/16 - 6=-5 1/3.

1)  3 3/11 * 1 2/9=36/11*11/9=4;

2)  4-2 3/8 = 1 5/8;

3)  1 5/8:2 7/16=13/8:39/16=13/8*16/39=2/3;

4)  2/3-6= -5 1/3.

Answer 3

To solve this mathematical expression, we should follow the order of operations, which is often remembered with the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Let's break down the expression step by step:

1. First, let's simplify the multiplication inside the parentheses:

   (3 3/11 × 1 2/9 - 2 3/8) = (3 3/11 × 1 2/9) - (2 3/8)

   To multiply mixed numbers, first convert them to improper fractions:

   (34/11 × 11/9) - (19/8)

2. Now, multiply the fractions:

   (34/11) × (11/9) = (34/99)

   So the expression becomes:

   (34/99) - (19/8)

3. To subtract the fractions, find a common denominator:

   To do this, find the least common multiple (LCM) of 99 and 8, which is 792.

4. Rewrite both fractions with the common denominator:

   (34/99) = (34/99) * (8/8) = (272/792) (19/8) = (19/8) * (99/99) = (1881/792)

5. Now, subtract the fractions:

   (272/792) - (1881/792) = (272 - 1881)/792 = (-1609/792)

6. Finally, divide by 2 7/16 - 6:

   To subtract a mixed number (2 7/16) from 6, first convert it to an improper fraction:

   2 7/16 = (2 * 16 + 7)/16 = (39/16)

   Now, subtract 6:

   6 - 39/16 = (96/16) - (39/16) = (96 - 39)/16 = 57/16

   So, the expression is now:

   (-1609/792) : (57/16)

7. To divide by a fraction, multiply by its reciprocal:

   (-1609/792) * (16/57) = (-1609 * 16) / (792 * 57)

8. Simplify the fraction:

   (-25744) / (45144)

Now, you can leave the fraction in its simplified form, or you can check if it can be reduced further by finding the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD is 8, so you can simplify the fraction further:

(-25744 / 8) / (45144 / 8) = -3218 / 5643

So, the final result is -3218/5643.