X—2/7 =4/5

No attempt of your own?

x - 2/7 = 4/5

X = 4/5 + 2/7 = 28/35 + 10/35 =

thanks

You are welcome.

To solve the equation X - 2/7 = 4/5, you can follow these steps:

Step 1: Get rid of the fraction on the left side by multiplying both sides of the equation by the denominator of the left fraction, which is 7. This will eliminate the fraction.

7(X - 2/7) = 7(4/5)

Simplifying both sides, you get:

7X - 2 = 28/5

Step 2: Now, we can simplify the right side of the equation. The fraction 28/5 can be converted into a mixed number by dividing the numerator (28) by the denominator (5). The quotient becomes the whole number and the remainder becomes the new numerator.

28 ÷ 5 = 5 with a remainder of 3

So, 28/5 can be written as 5 and 3/5.

Replacing 28/5 with 5 and 3/5 in the equation:

7X - 2 = 5 and 3/5

Step 3: To isolate X, we need to get rid of the constant term (-2) on the left side. We can do this by adding 2 to both sides of the equation.

7X - 2 + 2 = 5 and 3/5 + 2

Simplifying both sides, you get:

7X = 7 and 3/5

Step 4: Finally, divide both sides of the equation by the coefficient of X, which is 7, to solve for X.

7X / 7 = (7 and 3/5) / 7

Simplifying, you get:

X = 1 and 3/5

Therefore, the solution to the equation X - 2/7 = 4/5 is X = 1 and 3/5.