Question

(4-2цлых 3/7)· х=2целых 5/14

Answer 1

(4 - 2 3/7) * х = 2 5/14
(3 7/7 - 2 3/7) * х = 2 5/14
1 4/7х =2 5/14
х = 2 5/14 : 1 4/7
х = 33/14 : 11/7
х = 33/14 * 7/11
х = 3/2 = 1,5

Answer 2

To solve the equation (4-2цлых 3/7)· х=2целых 5/14, we'll first simplify the expression on the left side and then solve for the variable х.

Let's simplify (4-2цлых 3/7) first:

To subtract fractions, we need to have a common denominator. The least common multiple (LCM) of 7 and 14 is 14. We can convert 4 to the fraction 4/1 to have a common denominator of 14.

(4-2цлых 3/7) = (4/1 - 2цлых 3/7)

Now, let's find the equivalent fractions with a common denominator of 14:

(4/1 - 2цлых 3/7) = (4/1)*(7/7) - (2цлых 3/7)*(2/2)

Simplifying further:

(4/1)*(7/7) - (2цлых 3/7)*(2/2) = 28/7 - 4цлых 6/14

Now, we can simplify 2цлых 6/14 to an improper fraction. Since цлых is not a standard mathematical notation, I will assume that it means "whole." So, 2цлых would represent the whole number 2.

Converting 2цлых 6/14 to an improper fraction:

2 + 6/14 = 2 + 3/7 (multiplying the whole number 2 by the denominator 14 to get the equivalent fraction)

Now, let's substitute the simplified expression back into the equation:

(28/7) - (2 + 3/7) = (28/7) - (2 + 3/7)

Next, we need to convert the mixed number (2 + 3/7) to an improper fraction:

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

Substituting the values back into the equation:

(28/7) - (17/7) = 2целых 5/14

Now, we can combine the fractions on the left side:

(28/7) - (17/7) = 11/7

Therefore, the equation (4-2цлых 3/7)· х=2целых 5/14 simplifies to:

11/7 * x = 2целых 5/14

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

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

The fractions on the right side can be simplified by multiplying the whole number 2целых by the denominator 14 to get the equivalent fraction. However, without knowing the exact value represented by целых, we can't perform this calculation accurately.

So, the simplified equation is:

x = (2целых 5/14) * (7/11) / (11/7)

Without further information about the value of целых, we cannot provide a specific numerical solution for x.