Question

В-5/6в+1/4в=(1-5/6+1/4)*в

Answer 1

Если я правильно поняла условие, будет решение, как на фото.

Answer 2

To solve the equation, let's simplify the expressions on both sides step by step.

On the left side:

• The expression "-5/6v" can be rewritten as "-(5/6)v" (distributive property of multiplication).
• The expression "+1/4v" remains the same.

Combining the two terms, we have:

(-(5/6)v) + (1/4)v

Now, we need to find a common denominator to add the fractions. The least common multiple of 6 and 4 is 12. Let's convert both fractions to have a denominator of 12:

((-5/6)v) + (1/4)v = ((-10/12)v) + (3/12)v

Now, we can combine the fractions:

((-10/12)v) + (3/12)v = (-10v + 3v)/12

Simplifying further:

(-10v + 3v) = -7v

Therefore, the left side simplifies to:

-7v/12

Now, let's simplify the right side of the equation:

(1 - 5/6 + 1/4)v

First, let's work on the numbers inside the parentheses:

1 - 5/6 + 1/4

To add or subtract fractions, we need a common denominator. The least common multiple of 6 and 4 is 12. Let's convert all fractions to have a denominator of 12:

1 = 12/12 5/6 = (5/6) * (2/2) = 10/12 1/4 = 3/12

Now, we can add the fractions:

12/12 - 10/12 + 3/12 = (12 - 10 + 3)/12 = 5/12

So, the right side simplifies to:

(5/12)v

Now, we can rewrite the equation with the simplified expressions:

-7v/12 = (5/12)v

To solve for v, let's eliminate the denominators by multiplying both sides of the equation by 12:

12 * (-7v/12) = 12 * (5/12)v

On the left side, the 12 in the numerator and the 12 in the denominator cancel out:

-7v = 5v

Now, let's isolate v by moving 5v to the left side:

-7v - 5v = 0

-12v = 0

Dividing both sides by -12:

v = 0

Therefore, the solution to the equation is v = 0.