solve for x in the equation 8/11 (x+4/5) = 24/55

Answer 1

To solve the equation 8/11 (x+4/5) = 24/55, we can start by multiplying both sides of the equation by the reciprocal of 8/11, which is 11/8:

11/8 * 8/11 (x + 4/5) = 11/8 * 24/55

Simplifying both sides:

(x + 4/5) = 33/55

Next, we can subtract 4/5 from both sides to isolate x:

x = 33/55 - 4/5

To add these fractions, we need a common denominator. The common denominator is 5 * 55 = 275:

x = (33/55) * (5/5) - (4/5) * (55/55)
x = 165/275 - 220/275

Now, we can subtract the fractions:

x = (165 - 220)/275
x = -55/275

Simplifying the fraction:

x = -1/5

Therefore, the value of x is -1/5.