To solve the equation, we can start by distributing the fraction 8/11 into the expression (x + ⅘):
8/11(x + ⅘) = 24/25
Multiplying 8/11 by (x + ⅘):
(8/11) * x + (8/11) * (⅘) = 24/25
Simplifying the expression:
(8x/11) + (32/55) = 24/25
Next, we can get rid of the fraction by multiplying both sides of the equation by the least common denominator (LCD) of 11, 55, and 25, which is 1375:
1375 * ((8x/11) + (32/55)) = 1375 * (24/25)
Simplifying:
100x + 220 = 1320
Now, let's isolate the variable x by subtracting 220 from both sides:
100x = 1320 - 220
100x = 1100
Finally, divide both sides of the equation by 100 to solve for x:
x = 1100/100
x = 11
8/11(x+⅘) = 24/25 solve
1 answer
1 answer