Question

3. 8/11(x+⅘) = 24/25 solve

Answer 1

To solve the equation, we need to isolate the variable x.

First, let's simplify the equation by multiplying both sides by the reciprocal of 8/11, which is 11/8:

11/8 * 8/11(x+⅘) = 11/8 * 24/25

On the left side, the reciprocal of 8/11 cancels out, leaving us with:

x + ⅘ = 11/8 * 24/25

Simplifying the right side of the equation, we multiply the numerators and denominators:

x + ⅘ = 264/200

Next, let's convert the fraction ⅘ to a common denominator:

x + 4/5 = 264/200

Now, let's multiply both sides of the equation by 200 to eliminate the denominators:

200(x + 4/5) = 264

Distributing 200 to both terms inside the parentheses:

200x + 200 * 4/5 = 264

Simplifying, we multiply 200 by 4, which gives us:

200x + 800/5 = 264

Converting 800/5 to a decimal:

200x + 160 = 264

Next, let's isolate the variable x by subtracting 160 from both sides:

200(x) + 160 - 160 = 264 - 160

This simplifies to:

200x = 104

To solve for x, we divide both sides of the equation by 200:

200x/200 = 104/200

Simplifying, we have:

x = 13/25

Therefore, the solution to the equation is x = 13/25.