Question

1. (4- 1.2/3 ) - 2.1/6 2. ( х- 2.7/8 ) + 3.5/6 = 4.2/3

Answer 1

Ответ:

1) 3,25

$2)x = \frac{277}{240}$

Answer 2

Let's solve the given equations step by step:

1. (4 - 1.2/3) - 2.1/6

To solve this equation, we perform the operations inside the parentheses first:

4 - 1.2/3 = 4 - 0.4 = 3.6

Now, we can simplify the equation further:

3.6 - 2.1/6

To subtract the fraction, we need a common denominator. The common denominator for 6 is 6 itself, so we don't need to change anything.

3.6 - 2.1/6 = 3.6 - 0.35 = 3.25

Therefore, the solution to the first equation is 3.25.

2. (х - 2.7/8) + 3.5/6 = 4.2/3

To solve this equation, we'll first get rid of the fractions by multiplying through by the least common denominator (LCD), which is 24.

24 * (х - 2.7/8) + 24 * (3.5/6) = 24 * (4.2/3)

Simplifying the equation:

24х - (24 * 2.7)/8 + (24 * 3.5)/6 = (24 * 4.2)/3

Multiplying each term:

24х - 8 * 2.7 + 4 * 3.5 = 8 * 4.2

24х - 21.6 + 14 = 33.6

Combine like terms:

24х - 7.6 = 33.6

Now, isolate the variable х by adding 7.6 to both sides:

24х - 7.6 + 7.6 = 33.6 + 7.6

24х = 41.2

Finally, divide both sides by 24 to solve for х:

(24х)/24 = 41.2/24

х = 41.2/24

Simplifying the fraction, we get:

х = 1.71667

Therefore, the solution to the second equation is х = 1.71667.