Question

4целых 1/6-1целых 1/3= 4x+3целых 5/18

Answer 1

4*(1/6)-1*(1/3)=4х+3*(5/18)
2*(1/3)-1/3=4х+5/6
2/3-1/3=4х+5/6
4х+5/6=2/3-1/3
4х=1/3-5/6
4х=(2*1)/(3*2)-5/6
4х=2/6-5/6
4х= -3/6
4х= -1/2
х= -1/(2*4)
х= -1/8

Answer 2

To solve this equation, we need to simplify both sides and isolate the variable (x).

Let's start by simplifying the left-hand side of the equation:

4 целых 1/6 - 1 целых 1/3

We can convert both mixed numbers to improper fractions:

4(6/6) + 1/6 - 1(3/3) - 1/3

24/6 + 1/6 - 9/3 - 1/3

(24 + 1 - 27 - 1)/6

-3/6

-1/2

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

3 целых 5/18

We can convert this mixed number to an improper fraction:

3(18/18) + 5/18

54/18 + 5/18

59/18

Now we can rewrite the equation with these simplified values:

-1/2 = 4x + 59/18

To isolate the variable (x), we need to get it by itself on one side of the equation. Let's start by subtracting 59/18 from both sides:

-1/2 - 59/18 = 4x

To add or subtract fractions, we need to find a common denominator. The least common multiple of 2 and 18 is 18, so we can rewrite -1/2 as -9/18:

-9/18 - 59/18 = 4x

-68/18 = 4x

We can simplify the left-hand side by dividing both the numerator and denominator by 2:

-34/9 = x

So the solution to the equation is x = -34/9.