Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

x  = .

Step-by-step explanation:

Given  : 11.42424242 …

To find : Convert it to a rational expression in the form of a over b, where b ≠ 0.

Solution: We have given 11.42424242 …

We can see here two number 42 are repeating.

Let x = 11.42424242 …

On multiplying both sides by 100

100x = 100 * 11.42424242 …

100x = 1142.424242.....

100x = 11.4242.....+1131.00000.....

100x = x + 1131.0000....

On subtracting both sides by x

100x -x = 1131

99x = 1131.

On dividing both side by99.

x  = .

Therefore, x  = .

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x