Question

4) (4-2целых3/7)*x=2 целых 5/14​

Answer 1

(4-17/7)*х=33/14

(28/7-17/7)*х=33/14

11/7х=33/14

х=33/14:11/7

Х=33/14*7/11

Х=3/2

Х=1 1/2

Answer 2

To solve the equation (4 - 2 3/7) * x = 2 5/14, we'll start by simplifying the left-hand side of the equation.

First, let's convert the mixed number 2 3/7 into an improper fraction:

2 3/7 = (2 * 7 + 3)/7 = 17/7

Now, we can simplify the left-hand side:

(4 - 17/7) * x = 2 5/14

To subtract fractions, we need a common denominator. In this case, the common denominator is 7:

(28/7 - 17/7) * x = 2 5/14

(11/7) * x = 2 5/14

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

2 5/14 = (2 * 14 + 5)/14 = 33/14

Now we have:

(11/7) * x = 33/14

To solve for x, we'll multiply both sides of the equation by the reciprocal of 11/7, which is 7/11:

[(11/7) * x] * (7/11) = (33/14) * (7/11)

x = (33/14) * (7/11) * (7/11)

Let's calculate the value of x:

x = (33 * 7 * 7) / (14 * 11 * 11)

x = 1617 / 1694

Therefore, the solution to the equation is:

x = 1617/1694