Question

-5/12*х(-1 1/15)=1 1/3​

Answer 1

Ответ:

х=12

Пошаговое объяснение:

-5/12*х(-1 1/15)=1 1/3​

5/12*х(11/15)=1 1/3​

сокращаем на 5

1/12*х(11/3)=1 1/3​

вычисляем

(11/36)х=1 1/3​

умножаем обе части на 36/11

х=12

Answer 2

To solve the equation (-5/12) * x * (-1 1/15) = 1 1/3, you can follow these steps:

Step 1: Convert the mixed number 1 1/3 to an improper fraction.

1 1/3 = (3 * 1 + 1)/3 = 4/3

So, 1 1/3 is equivalent to 4/3.

Now the equation becomes:

(-5/12) * x * (-1 1/15) = 4/3

Step 2: Simplify the equation by canceling common factors and multiplying the fractions.

(-5/12) * x * (-16/15) = 4/3

Now, multiply the fractions:

(5/12) * (16/15) * x = 4/3

Step 3: Simplify further:

(5/3) * (4/15) * x = 4/3

Step 4: Cancel common factors:

(1/3) * (4/1) * x = 4/3

Step 5: Multiply the remaining fractions:

(4/3) * x = 4/3

Step 6: To isolate x, divide both sides of the equation by (4/3):

x = (4/3) / (4/3)

Now, divide by a fraction is the same as multiplying by its reciprocal:

x = (4/3) * (3/4)

The (3/4) in the numerator and denominator cancel out:

x = 1

So, the solution to the equation (-5/12) * x * (-1 1/15) = 1 1/3 is x = 1.