Question

( 2 3/8 - 1/2) •х =1 3/8:11

Answer 1

Давайте сначала выполним арифметические действия в левой части уравнения:

(2 3/8 - 1/2) · x = (19/8 - 1/2) · x = (19/8 - 4/8) · x = 15/8 · x

Теперь подставим это выражение в уравнение и решим его:

15/8 · x = 1 3/8 : 11

Сначала приведем правую часть к общему знаменателю:

1 3/8 : 11 = (11 + 3) / 11 = 14/11

Теперь умножим обе части уравнения на 8/15, чтобы избавиться от коэффициента при x в левой части:

x = (8/15) · (14/11) = 112/165

Ответ: x = 112/165.

Answer 2

To solve the equation (2 3/8 - 1/2) • х = 1 3/8 ÷ 11, let's simplify each side of the equation step by step.

First, let's simplify the left side of the equation:

2 3/8 - 1/2 = 19/8 - 4/8 = 15/8

Now, the equation becomes:

(15/8) • х = 1 3/8 ÷ 11

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

1 3/8 ÷ 11 = (11/8 + 3/8) ÷ 11 = 14/8 ÷ 11 = 7/4 ÷ 11 = 7/4 × 1/11 = 7/44

Now, the equation becomes:

(15/8) • х = 7/44

To solve for х, we can multiply both sides of the equation by the reciprocal of (15/8), which is (8/15):

(15/8) • х * (8/15) = (7/44) * (8/15)

This simplifies to:

х = (7/44) * (8/15)

Multiplying the fractions:

х = (7 * 8) / (44 * 15) х = 56 / 660

Now, we can simplify the fraction:

х = 2/33

Therefore, the solution to the equation is х = 2/33.