Question

4/15 : x = -3 1/15 (ЭТО ДРОБИИИИИИИИИ)

Answer 1

4/15 : х = - 3 1/15

4/15 : х = - 46/15

х = 4/15 : (-46/15)

х = 4/15 · (-15/46)

х = - 4/46

х = - 2/23

- - - - - - - -

Проверка: 4/15 : (-2/23) = 4/15 · (-23/2) = - 46/15 = - 3 целых 1/15

Answer 2

To solve the equation 4/15 : x = -3 1/15, we can start by converting the mixed number -3 1/15 into an improper fraction.

The mixed number -3 1/15 can be written as -3 + 1/15. To convert this to an improper fraction, we multiply the whole number (-3) by the denominator of the fraction (15) and add the numerator (1) to get the numerator of the improper fraction. The denominator remains the same.

-3 * 15 = -45 -45 + 1 = -44

So, -3 1/15 can be written as -44/15.

Now we can substitute this value into the equation:

4/15 : x = -44/15

To divide by a fraction, we can multiply by its reciprocal. The reciprocal of -44/15 is -15/44.

So, multiplying both sides of the equation by -15/44, we have:

(4/15) * (-15/44) : x = (-44/15) * (-15/44)

Simplifying the left side:

(4 * -15) / (15 * 44) : x = (-44 * -15) / (15 * 44)

-60 / 660 : x = 660 / 660

Simplifying the right side:

-60 / 660 : x = 1

To isolate x, we can multiply both sides of the equation by x:

(-60 / 660) * x = 1 * x

Simplifying:

-60x / 660 = x

To further simplify, we can cross-multiply:

-60x = 660x

Now, we can solve for x by moving all terms involving x to one side of the equation:

-60x - 660x = 0

-720x = 0

Dividing both sides by -720:

x = 0

Therefore, the solution to the equation 4/15 : x = -3 1/15 is x = 0.