Question

(2/3x+1/6)×1 1/5=2,6​

Answer 1

Ответ:(2/3х+1/6)×11/5=2,6

Распределить 11/5 через скобки

22/15х+11/30=2,6

Преобразуем десятичную дробь в обыкновенную:

22/15х+11/30=13/15

Умножаем обе части уравнения на 30:

44х+11=78

Переносим неизвестное в лево известное в право:

44х=78-11

44х=67

х=67/44

Или х=1 целая 23/44

Пошаговое объяснение:

Answer 2

To solve the given expression, let's simplify it step by step:

First, let's simplify the expression within the parentheses:

2/3x + 1/6

To combine these fractions, we need to find a common denominator. The least common multiple of 3 and 6 is 6. Therefore, we can rewrite the expression as:

(4/6x + 1/6)

Now, let's multiply the expression by 1 1/5:

(4/6x + 1/6) × 1 1/5

To multiply fractions, we multiply the numerators and denominators separately:

[(4/6x + 1/6) × (6/5)]

Next, let's simplify the expression:

[(4/6x + 1/6) × (6/5)] = (24/30x + 6/30) = (24x + 6)/30 = 2(12x + 3)/30

Now, we have the expression 2(12x + 3)/30.

To solve for x, we set the expression equal to 2.6:

2(12x + 3)/30 = 2.6

Next, let's solve for x by cross-multiplying:

2(12x + 3) = 2.6 × 30 24x + 6 = 78 24x = 78 - 6 24x = 72 x = 72/24 x = 3

Therefore, the value of x that satisfies the equation is 3.