Question

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

Answer 1

Ответ:

Пошаговое объяснение:

1) - 2,5 - 1 5/6 = - (25/10 + 11/6) = - (75/30 + 55/30) = - 130/30 = - 13/3

2) - 13/3 : 1 4/9 = - 13/3 : 13/9 = - 13/3 * 9/13 = - 9/3 = - 3

3) 3 5/9 * (-2 1/4) = 32/9 * (-9/4) = - 32/4 = - 8

4) - 3 - (-8) = - 3 + 8 = 8 - 3 = 5

Answer 2

Ответ:

Пошаговое объяснение: 2 5/10=2 1/2  1.  2 1/2-1 5/6=1 3/6-5/6=9/6-5/6=4/6=2/3.

2. 2/3 : 1 4/9=2/3:13/9=2/3*9/13=6/13     3. 3 5/9*2 1/4=32/9*9/4=8     4.6/13+8=8 6/13                                                                          

Answer 3

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

Step 1: Simplify the mixed numbers and convert them to improper fractions. 2,5 = 2 + 5/10 = 2 + 1/2 = 2 1/2 1 5/6 = 1 + 5/6 = 1 5/6 2 1/4 = 2 + 1/4 = 2 1/4

So the expression becomes: (2 1/2):1 4/9 - 3 5/9 * (-2 1/4)

Step 2: Perform the multiplication. Multiply the whole numbers, fractions, and mixed numbers separately.

(-2 1/4) = -2 - 1/4 = -2 1/4

Now we have: (2 1/2):1 4/9 - 3 5/9 * (-2 1/4)

Step 3: Perform the division. Divide 2 1/2 by 1 4/9:

To simplify the division, convert the mixed numbers to improper fractions: 2 1/2 = 2 + 1/2 = 2 + 9/18 = 2 + 9/18 = 2 9/18 1 4/9 = 1 + 4/9 = 1 + 4/9 = 1 4/9

Now divide 2 9/18 by 1 4/9: 2 9/18 ÷ 1 4/9

To simplify the division, multiply the numerator of the first fraction by the denominator of the second fraction and the numerator of the second fraction by the denominator of the first fraction: (2 * 9 + 9) / (18 * 9 + 4) = (18 + 9) / (162 + 4) = 27 / 166

So the expression becomes: 27/166 - 3 5/9 * (-2 1/4)

Step 4: Perform the multiplication. Multiply 3 5/9 by (-2 1/4):

To simplify the multiplication, convert the mixed numbers to improper fractions: 3 5/9 = 3 + 5/9 = 3 + 20/36 = 3 + 20/36 = 3 20/36 (-2 1/4) = -2 - 1/4 = -2 1/4

Now multiply 3 20/36 by (-2 1/4): 3 20/36 * (-2 1/4)

To simplify the multiplication, multiply the whole numbers, fractions, and mixed numbers separately: 3 * (-2) = -6 20/36 * 1/4 = (20 * 1) / (36 * 4) = 20/144 = 5/36

So the expression becomes: 27/166 - (-6 + 5/36)

Step 5: Simplify the addition and subtraction. To subtract a negative number, we can change the sign and perform addition:

27/166 - (-6 + 5/36) = 27/166 + (6 - 5/36)

To simplify the addition, find a common denominator for the fractions: 27/166 + (6 - 5/36) = 27/166 + (6 * 36/36 - 5/36) = 27/166 + (