Question

3 3/23 × (- 11 4/9 - ( - 3,6) : 9/35) - 4 5/6 =

Answer 1

1) - 3,6 : 9/35 = - 18/5 : 9/35 = - 14
2) - 11 4/9 - ( - 14 ) = - 11 4/9 + 13 9/9  = 2 5/9
3) 3 3/23 * 2 5/9 = 72/23 * 23/9 = 72/9 = 8 
4) 8 - 4 5/6 = 7 6/6 - 4 5/6 = 3 1/6 
Ответ 3 1/6

Answer 2

To solve this expression, follow the order of operations (PEMDAS/BODMAS):

P: Parentheses first E: Exponents (none in this case) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

Let's break it down step-by-step:

1. Parentheses first: (- 11 4/9 - ( - 3,6) : 9/35)

To subtract -11 4/9 from -3 6/10, you need to first convert the mixed numbers into improper fractions: -11 4/9 = -119/9 -3 6/10 = -36/10 (since 3,6 = 3 + 6/10 = 3 + 3/5 = 15/5 + 3/5 = 18/5)

So the expression becomes: (-119/9 - (-36/10)) : 9/35

Now, subtracting a negative is the same as adding, so we rewrite the expression as: (-119/9 + 36/10) : 9/35

2. Addition and Division: To add fractions with different denominators, we need to find a common denominator. The least common multiple (LCM) of 9 and 10 is 90.

(-119/9 + 36/10) = -1190/90 + 324/90

Now, we can combine the fractions: (-1190/90 + 324/90) = (-1190 + 324) / 90 = -866 / 90

Now, perform the division: (-866/90) : 9/35

To divide by a fraction, we multiply by its reciprocal: (-866/90) * (35/9)

3. Multiplication: (-866/90) * (35/9) = (-866 * 35) / (90 * 9) = -30310 / 810

4. Addition and Subtraction: Finally, we subtract 4 5/6 from the result: -30310/810 - 4 5/6

To subtract a mixed number, we convert it into an improper fraction first: 4 5/6 = 4 + 5/6 = 24/6 + 5/6 = 29/6

Now, subtract the fractions: -30310/810 - 29/6

To combine the fractions, we need a common denominator. The least common multiple (LCM) of 810 and 6 is 810.

(-30310/810) - (29/6) = (-30310 * 6) / (810 * 6) - (29 * 135) / (6 * 135)

(-30310 * 6) = -181860 (810 * 6) = 4860

(-29 * 135) = -3915 (6 * 135) = 810

Now the expression becomes: (-181860 / 4860) - (-3915 / 810)