Question

3 3/4 -(х- 1 7/9) = 2 2/9​

Answer 1

Ответ:

15/4-(-x-16/9)=20/9

15/4+x+16/9=20/9

15/4+x=4/9

x=16/36-135/36

x=119/36

Answer 2

To solve the equation 3 3/4 - (x - 1 7/9) = 2 2/9, follow these steps:

Step 1: Simplify the mixed numbers on both sides of the equation.

• 3 3/4 can be converted to an improper fraction: (4 * 3 + 3)/4 = 15/4.
• 2 2/9 can be converted to an improper fraction: (9 * 2 + 2)/9 = 20/9.
• 1 7/9 can be converted to an improper fraction: (9 * 1 + 7)/9 = 16/9.

Now, the equation becomes:

15/4 - (x - 16/9) = 20/9

Step 2: Distribute the negative sign to both terms inside the parentheses:

15/4 - x + 16/9 = 20/9

Step 3: To get rid of the fractions, find a common denominator for 4 and 9, which is 36. Then, rewrite the fractions with a common denominator:

(15 * 9)/(4 * 9) - x + (16 * 4)/(9 * 4) = (20 * 4)/(9 * 4)

135/36 - x + 64/36 = 80/36

Step 4: Combine the fractions on the left side:

(135 + 64)/36 - x = 80/36

199/36 - x = 80/36

Step 5: Subtract 199/36 from both sides to isolate x:

• x = 80/36 - 199/36

Step 6: Subtract the fractions:

• x = (80 - 199)/36

Step 7: Simplify the numerator:

• x = (-119)/36

Step 8: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:

• x = -119/36

So, the solution to the equation is:

x = -119/36