Question

12 - (x + 4 7/15) =5 13/15​

Answer 1

Ответ:

12-x-4 7/15-5 13/15=0

-x=-12+4 7/15 + 5 13/15

-x=-1 2/3

x=1 2/3

Объяснение:

Answer 2

To solve the equation 12 - (x + 4 7/15) = 5 13/15, you can follow these steps:

Step 1: Simplify the expression inside the parentheses on the left side of the equation:

x + 4 7/15 can be rewritten as an improper fraction: x + 4 7/15 = x + (15/15 * 4 + 7/15) = x + (60/15 + 7/15) = x + 67/15

So, the equation becomes: 12 - (x + 67/15) = 5 13/15

Step 2: Distribute the negative sign on the left side of the equation:

12 - x - 67/15 = 5 13/15

Step 3: Move the constant terms to one side of the equation and the variable term to the other side:

12 - 67/15 - 5 13/15 = x

Step 4: Calculate the values on the left side:

To subtract mixed numbers, first convert them to improper fractions: 5 13/15 = (15/15 * 5 + 13/15) = (75/15 + 13/15) = 88/15

Now, subtract the fractions and the whole numbers: 12 - 67/15 - 88/15 = (12 * 15/15) - (67/15 + 88/15) = (180/15) - (155/15) = 25/15

Step 5: Simplify the fraction:

25/15 can be simplified by dividing both the numerator and denominator by their greatest common factor, which is 5: (25/5) / (15/5) = 5/3

So, the final result for x is:

x = 5/3