Question

5/6х:(-2 5/6), при х=-3 2/5;0,2;-1;-10​

Answer 1

Ответ: 5/6х:(-2 5/6)

1)  5/6*(-3 2/5)=5/6*(-17/5)=-17/6

     -17/6:(-2 5/6)=-17/6:(-17/6)=-17/6*(-6/17)=1

2)  5/6*0,2=5/6*2/10=5/6*1/5=1/6

     1/6:(-17/6)=1/6*(-6/17)=-1/17

3)  5/6*(-10)=-25/3

     -25/3:(-17/6)=-25/3*(-6/17)=50/17=2 16/17

Пошаговое объяснение:

Answer 2

To evaluate the expression 5/6x : (-2 5/6) for different values of x, let's substitute the given values into the expression.

1. For x = -3 2/5: Substitute x = -3 2/5 into the expression: 5/6(-3 2/5) : (-2 5/6)

   First, convert the mixed numbers into improper fractions: -3 2/5 = -17/5 -2 5/6 = -17/6

   Substitute the values: 5/6 * (-17/5) : (-17/6)

   Multiply the fractions: (-85/30) : (-17/6)

   To divide by a fraction, we can multiply by its reciprocal: (-85/30) * (6/-17)

   Simplify the expression: 17/6

   Therefore, for x = -3 2/5, the expression evaluates to 17/6.

2. For x = 0.2: Substitute x = 0.2 into the expression: 5/6(0.2) : (-2 5/6)

   Convert the mixed number into an improper fraction: -2 5/6 = -17/6

   Substitute the values: 5/6 * (0.2) : (-17/6)

   Multiply the fractions: (1/6) : (-17/6)

   To divide by a fraction, we can multiply by its reciprocal: (1/6) * (-6/17)

   Simplify the expression: -1/17

   Therefore, for x = 0.2, the expression evaluates to -1/17.

3. For x = -1: Substitute x = -1 into the expression: 5/6(-1) : (-2 5/6)

   Convert the mixed number into an improper fraction: -2 5/6 = -17/6

   Substitute the values: 5/6 * (-1) : (-17/6)

   Multiply the fractions: (-5/6) : (-17/6)

   To divide by a fraction, we can multiply by its reciprocal: (-5/6) * (-6/17)

   Simplify the expression: 5/17

   Therefore, for x = -1, the expression evaluates to 5/17.

4. For x = -10: Substitute x = -10 into the expression: 5/6(-10) : (-2 5/6)

   Convert the mixed number into an improper fraction: -2 5/6 = -17/6

   Substitute the values: 5/6 * (-10) : (-17/6)

   Multiply the fractions: (-50/6) : (-17/6)

   To divide by a fraction, we can multiply by its reciprocal: (-50/6) * (-6/17)

   Simplify the expression: 50/17

   Therefore, for x = -10, the expression evaluates to 50/17.

In summary, the values of the expression 5/6x : (-2 5/6) for the given values of x are:

• For x = -3 2/5: 17/6
• For x = 0.2: -1/17
• For x = -1: 5/17
• For x = -10: 50/17