Question

4 5/7+(2 4/7-х)=6 2/7

Answer 1

33/7+(18/7-x)=44/7
33/7+18/7-x=44/7
51/7-x=44/7
-x=44/7-51/7
-x=-1
x=1

Answer 2

To solve the equation 4 5/7 + (2 4/7 - x) = 6 2/7, we need to simplify and find the value of x.

First, let's convert the mixed numbers into improper fractions: 4 5/7 can be written as (7 * 4 + 5)/7 = 33/7 2 4/7 can be written as (7 * 2 + 4)/7 = 18/7 6 2/7 can be written as (7 * 6 + 2)/7 = 44/7

Now, the equation becomes: 33/7 + (18/7 - x) = 44/7

Next, let's simplify the equation: 33/7 + 18/7 - x = 44/7

Combining the fractions: (33 + 18)/7 - x = 44/7

Simplifying further: 51/7 - x = 44/7

To eliminate the denominators, we can multiply both sides of the equation by 7: 7 * (51/7 - x) = 7 * (44/7)

This gives us: 51 - 7x = 44

Now, let's solve for x: Subtract 51 from both sides: 51 - 7x - 51 = 44 - 51 -7x = -7

Divide both sides by -7 to solve for x: x = -7/-7 x = 1

Therefore, the solution to the equation is x = 1.