Question

8 4/9:(-4 1/3):2 12/13=1)2)​

Answer 1

Решим последовательно. При делении вторая дробь переворачивается и происходит умножение числителя со знаменателем и наоборот.

Переводим смешанные дроби в неправильные:

$\frac{76}{9} : (-\frac{13}{3}) : \frac{38}{13} = -\frac{2}{3}$

1) $\frac{76}{9} * (-\frac{3}{13}) = -\frac{76}{39}$

2) $-\frac{76}{39} * \frac{13}{38} = -\frac{2}{3}$  

Answer 2

To solve this 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, you have division and parentheses, so you should handle those first.

Let's break down the expression step by step:

1. First, let's simplify the fractions:
   • 4 4/9 can be converted to an improper fraction: (4 * 9 + 4)/9 = 40/9.
   • -4 1/3 can be converted to an improper fraction: (-4 * 3 - 1)/3 = -13/3.
   • 2 12/13 can be converted to an improper fraction: (2 * 13 + 12)/13 = 38/13.

So, the expression becomes: (40/9) : (-13/3) : (38/13).

2. Next, perform the divisions from left to right:

   • (40/9) : (-13/3) = (40/9) * (-3/13) (division is the same as multiplication by the reciprocal).
   • (40/9) * (-3/13) = (-120/117).

3. Finally, simplify the result:

   • To simplify the fraction, you can find the greatest common divisor (GCD) of the numerator and denominator and divide both by it. In this case, GCD(120, 117) = 3.
   • So, (-120/117) simplifies to (-40/39).

The final result is -40/39.