Question

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

Answer 1

To solve for x, we can begin by multiplying both sides of the equation by the reciprocal of 8/11, which is 11/8.

Hence, we have:

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

Simplifying, we get:

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

Multiplying both numerators and denominators, we have:

(11x)/8 + 44/40 = 264/440

Simplifying further:

11x/8 + 11/10 = 6/10

Next, we combine the fractions on the left side of the equation by finding a common denominator. In this case, it is 40.

So we get:

(55x + 44)/40 = 48/80

Cross-multiplying, we have:

80 * (55x + 44) = 48 * 40

Simplifying:

4400x + 3520 = 1920

Next, we isolate x by subtracting 3520 from both sides:

4400x = 1920 - 3520

4400x = -1600

Finally, divide both sides by 4400:

x = -1600/4400

Reducing the fraction, we obtain:

x = -4/11

Therefore, x is equal to -4/11.