Question

8/11(x+⅘) = 24/25 solve

Answer 1

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