Question

23 5/18-x=11/30+5/15

Answer 1

Ответ:

1016/45

Пошаговое объяснение:

Answer 2

To solve for x in the equation:

23 5/18 - x = 11/30 + 5/15

First, simplify the fractions on the right side:

11/30 + 5/15 = 11/30 + 2/6

Now, find a common denominator for the fractions on the right side, which is 30:

11/30 + 2/6 = 11/30 + 10/30

Now, you can combine the fractions on the right side:

11/30 + 10/30 = (11 + 10)/30 = 21/30

So, the equation becomes:

23 5/18 - x = 21/30

Now, convert the mixed number 23 5/18 to an improper fraction. To do that, multiply the whole number (23) by the denominator of the fraction (18) and add the numerator (5):

23 * 18 + 5 = 414 + 5 = 419

Now, create the improper fraction:

23 5/18 = 419/18

Now, the equation is:

419/18 - x = 21/30

To solve for x, you can first find a common denominator for both fractions, which is 18 * 30 = 540:

(419/18) * (30/30) - x = (21/30) * (18/18)

Now, perform the multiplications:

(419 * 30) / 540 - x = (21 * 18) / 540

12570/540 - x = 378/540

Now, subtract 12570/540 from both sides to isolate x:

-x = (378/540) - (12570/540)

Now, subtract the fractions on the right side:

-x = (378 - 12570) / 540

-x = (-12292) / 540

Now, divide both sides by -1 to solve for x:

x = (12292) / 540

Now, you can simplify the fraction by finding the greatest common divisor (GCD) of 12292 and 540, which is 4:

x = (12292 / 4) / (540 / 4)

x = 3073 / 135

So, the solution for x is:

x = 3073/135