Question

Решите уравнение (1 16/25+y)-4/5=4 6/25помогите пожалуйста​

Answer 1

Ответ:

17\5

Пошаговое объяснение:

Answer 2

To solve the equation (1 + 16/25 + y) - 4/5 = 4 + 6/25, we can follow these steps:

Step 1: Simplify the expressions on both sides of the equation. On the left side, we have (1 + 16/25 + y) - 4/5. To simplify this, we need to find a common denominator for 25 and 5, which is 25. So, we can rewrite the expression as (25/25 + 16/25 + y) - (4/5 * 5/5). This simplifies to (25 + 16 + 25y) - (20/25).

On the right side, we have 4 + 6/25.

Step 2: Combine like terms. On the left side, we have (25 + 16 + 25y) - (20/25). Combining the terms, we get 41 + 25y - (20/25).

On the right side, we have 4 + 6/25.

Step 3: Simplify further. On the left side, we have 41 + 25y - (20/25). To simplify this, we can convert 20/25 to a decimal by dividing 20 by 25, which gives us 0.8. So, the expression becomes 41 + 25y - 0.8.

On the right side, we have 4 + 6/25.

Step 4: Combine like terms again. On the left side, we have 41 + 25y - 0.8. Combining the terms, we get 40.2 + 25y.

On the right side, we have 4 + 6/25.

Step 5: Set the two sides of the equation equal to each other. We have 40.2 + 25y = 4 + 6/25.

Step 6: Solve for y. To solve for y, we need to isolate the variable on one side of the equation. We can do this by subtracting 40.2 from both sides of the equation:

40.2 + 25y - 40.2 = 4 + 6/25 - 40.2

This simplifies to:

25y = -36.2 + 4 + 6/25

To simplify further, we can convert -36.2 to a fraction by writing it as -36 - 1/5. So, the equation becomes:

25y = -32 - 1/5 + 6/25

Now, we need to find a common denominator for 5 and 25, which is 25. So, we can rewrite the equation as:

25y = -32 * 25/25 - 1/5 * 5/5 + 6/25

This simplifies to:

25y = -800/25 - 5/25 + 6/25

Combining the terms, we get:

25y = -799/25 + 6/25

To add the fractions, we need to have a common denominator, which is 25. So, the equation becomes:

25y = (-799 + 6)/25

Simplifying further, we have:

25y = -793/25

Finally, to solve for y, we divide both sides of the equation by 25:

y = -793/25 / 25/1

Dividing fractions is the same as multiplying by the reciprocal, so we have:

y = -793/25 * 1/25

Multiplying the numerators and denominators, we get:

y = -793/625

Therefore, the solution to the equation (1 + 16/25 + y) - 4/5 = 4 + 6/25 is y = -793/625.

I hope this helps! Let me know if you have any further questions.