Question

(4 32/33 - х) + 17/33 = 2 1/33

Answer 1

Ответ:

х = 3 15/33

Пошаговое объяснение:

(4 32/33 - х) + 17/33 = 2 1/33

4 32/33 - х = 2 1/33 - 17/33

4 32/33 - х = 1 17/33

х = 4 32/33 - 1 17/33

х = 3 15/33

-----

(4 32/33 - 3 15/33) + 17/33 = 1 17/33 + 17/33 = 1 34/33 = 2 1/33 - верно

Answer 2

To solve the equation (4 32/33 - x) + 17/33 = 2 1/33, you can follow these steps:

1. Subtract 17/33 from both sides of the equation to isolate the term (4 32/33 - x):

(4 32/33 - x) = 2 1/33 - 17/33

2. Subtract 2 1/33 from 4 32/33:

(4 32/33 - x) = (4 32/33 - 2 1/33 - 17/33)

3. Subtract the whole numbers and fractions separately:

(4 - 2) + (32/33 - 1/33 - 17/33) = (2) + (14/33)

4. Simplify the fractions in the right-hand side:

2 + (14/33)

5. Now, add the whole number and the fraction:

2 + 14/33

6. To add a whole number and a fraction, find a common denominator. The common denominator for 2 and 33 is 33:

(2 * 33/33) + 14/33

7. Now, you can add the fractions:

(66/33) + (14/33) = 80/33

So, the solution to the equation is:

(4 32/33 - x) = 80/33

Now, to isolate x, subtract 4 32/33 from both sides:

x = 4 32/33 - 80/33

To subtract these mixed numbers, you need a common denominator of 33:

x = (4 * 33/33) - (80/33 + 32/33)

x = (132/33) - (112/33)

Now, subtract the fractions:

x = (132 - 112) / 33

x = 20/33

So, the solution to the equation is:

x = 20/33