Question

2 2/3 : 0,24 = 1 7/9 : (x + 0,06

Answer 1

(6+2)/3:24/100=17/(9*(х+0,06));
8/3*100/24=17/(9(х+0,06)); |*(9(х+0,06));
100/9*(9(х+0,06))=17;
100х+6=17; 100х=17-6; 100х=11; х=11/100;
х=0,11.

Answer 2

To solve the equation, let's first simplify both sides separately.

On the left side of the equation, we have: 2 2/3 : 0.24

First, let's convert the mixed number to an improper fraction: 2 2/3 = (3 * 2 + 2)/3 = 8/3

Now, we can divide 8/3 by 0.24: (8/3) / 0.24 = (8/3) * (1/0.24) = (8/3) * (25/6) = (8 * 25) / (3 * 6) = 200 / 18 = 100 / 9

So, the left side simplifies to 100/9.

On the right side of the equation, we have: 1 7/9 : (x + 0.06)

Similarly, let's convert the mixed number to an improper fraction: 1 7/9 = (9 * 1 + 7)/9 = 16/9

Now we can divide 16/9 by (x + 0.06): (16/9) / (x + 0.06)

To solve for x, we need to multiply both sides of the equation by the denominator (x + 0.06): 16/9 = (x + 0.06)

Now, let's solve for x:

Multiply both sides of the equation by 9 to eliminate the denominator: 16 = 9(x + 0.06)

Distribute 9 on the right side: 16 = 9x + 0.54

Subtract 0.54 from both sides: 16 - 0.54 = 9x 15.46 = 9x

Divide both sides by 9: 15.46/9 = x x ≈ 1.716

Therefore, the solution for the equation is x ≈ 1.716.