To solve the equation 8/11(x+⅘) = 24/25, we can start by simplifying both sides of the equation.
On the left side, we can distribute the 8/11 to the terms inside the parentheses:
8/11(x+⅘) = (8/11)*(x) + (8/11)*(⅘)
This simplifies to:
8/11(x+⅘) = 8/11x + 32/55
Now the equation becomes:
8/11x + 32/55 = 24/25
To eliminate the fractions, we can multiply the entire equation by the least common denominator (LCD), which is 11 * 25 = 275.
275 * (8/11x) + 275 * (32/55) = 275 * (24/25)
This simplifies to:
200x + 160 = 264
Next, we can isolate the variable by subtracting 160 from both sides:
200x = 264 - 160
200x = 104
Finally, we solve for x by dividing both sides by 200:
x = 104/200
Simplifying the fraction, we get:
x = 26/50
This can be further reduced to:
x = 13/25
Therefore, the solution to the equation 8/11(x+⅘) = 24/25 is x = 13/25.
8/11(x+⅘) = 24/25 solve
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