Question

-4 2/3:(-6 5/6) решить

Answer 1

Ответ:

28\41  

-4  2\3 ÷(-6  5\6 ) = 4  2\3 ÷6  5\6  =  14\3 ÷  41\6  =   14\3 ×  6\41  = 84\123  =  28\ 41

Answer 2

To solve the expression -4 2/3 : (-6 5/6), you need to follow the order of operations, which is commonly remembered as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition, and Subtraction).

The expression involves division, so let's start by simplifying it step by step:

1. Convert the mixed numbers to improper fractions: -4 2/3 = -(4 * 3 + 2) / 3 = -14/3 -6 5/6 = -(6 * 6 + 5) / 6 = -41/6

2. Now, the expression becomes: -14/3 : (-41/6)

3. To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction: -14/3 * (-6/41)

4. Multiply the numerators and denominators: (-14 * -6) / (3 * 41) = 84 / 123

5. The fraction 84/123 can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, and then dividing both by the GCD: GCD(84, 123) = 3

Dividing both the numerator and denominator by 3, we get: 84 ÷ 3 = 28 123 ÷ 3 = 41

So the simplified result is: 28/41