Question

Розв’яжи рівняння: 7 1/8-(х+2 3/5)=

Answer 1

В-дь: х= -19/40



9/8 - (x + 8/5) = 0

Спростимо це рівняння:

9/8 - x - 8/5 = 0

Знайдемо спільний знаменник для 8 та 5, це буде 40:

(9/8) * 5/5 - (8/5) * 8/8 - x = 0

(45/40) - (64/40) - x = 0

(45 - 64) / 40 - x = 0

-19/40 - x = 0

Тепер додамо 19/40 до обох сторін рівняння:

- x = 19/40

Тепер помножимо обидві сторони на -1, щоб отримати x:

x = -19/40.

Answer 2

7 1/8 - (x + 2 + 3/5) =

First, let's simplify the equation by adding the whole numbers and fractions separately.

7 1/8 = 57/8 (convert the mixed number to an improper fraction)

2 + 3/5 = 10/5 + 3/5 = 13/5 (convert the mixed number to an improper fraction)

Now, substitute these values back into the equation:

57/8 - (x + 13/5) =

To simplify further, let's get a common denominator for the fractions:

The common denominator for 8 and 5 is 40.

So, we need to convert 57/8 and 13/5 to have a denominator of 40:

57/8 * 5/5 = 285/40 13/5 * 8/8 = 104/40

Now the equation becomes:

285/40 - (x + 104/40) =

Combine the fractions:

285/40 - x - 104/40 =

Subtract the fractions:

181/40 - x =

So, the solution to the equation is:

x = 181/40 - the constant term.