Question

(2,5-1 5/6):1 4/9-3 5/9*(-2 1/4)​

Answer 1

Ответ:

(2,5-1 5/6):1 4/9-3 5/9*(-2 1/4)=5

Answer 2

To simplify the given expression (2,5-1 5/6):1 4/9-3 5/9*(-2 1/4), let's break it down step by step.

First, let's simplify the subtraction of mixed numbers: 2,5 - 1 5/6.

2,5 can be rewritten as an improper fraction: 2 + 1/2 = 2(2/2) + 1/2 = 5/2. 1 5/6 can be rewritten as an improper fraction: 1 + 5/6 = 1(6/6) + 5/6 = 11/6.

Now, we can subtract: 5/2 - 11/6.

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 2 and 6 is 6.

Converting 5/2 to have a denominator of 6: (5/2) x (3/3) = 15/6. So, 5/2 is equivalent to 15/6.

Now we can subtract: 15/6 - 11/6 = 4/6.

The result is 4/6, which can be simplified further. The greatest common divisor (GCD) of 4 and 6 is 2.

Dividing the numerator and denominator by 2: (4/2) / (6/2) = 2/3.

Now, let's move on to the next part of the expression: 1 4/9.

Since there is no operation between 1 4/9 and the previous result, we can assume it is multiplication. So, we have: (2/3) * (1 4/9).

To simplify the multiplication of mixed numbers, let's convert 1 4/9 to an improper fraction.

1 4/9 can be written as: 1 + 4/9 = 1(9/9) + 4/9 = 13/9.

Now, we can multiply: (2/3) * (13/9).

Multiplying fractions is straightforward: numerator * numerator and denominator * denominator.

(2/3) * (13/9) = (2 * 13) / (3 * 9) = 26/27.

Finally, let's move on to the last part of the expression: 3 5/9 * (-2 1/4).

First, let's convert -2 1/4 to an improper fraction.

-2 1/4 can be written as: -2 + 1/4 = -2(4/4) + 1/4 = -9/4.

Now, we can multiply: (3 5/9) * (-9/4).

To multiply mixed numbers, convert them to improper fractions.

3 5/9 can be written as: 3 + 5/9 = 3(9/9) + 5/9 = 32/9.

Now, we can multiply: (32/9) * (-9/4).

Multiplying fractions: (32 * -9) / (9 * 4) = -288/36.

Finally, we can simplify the fraction: -288/36 = -8/1.

Putting it all together, the simplified expression is:

(2,5 - 1 5/6): 1 4/9 - 3 5/9 * (-2 1/4) = 2/3 * 13/9 - (-8/1) = 26/27 - (-8/1