Question

4) (x + 8/27) : 19 5/9=1/12​

Answer 1

Ответ:

(х+8/27):19 5/9=1/12

х+8/27=19 5/9*1/12

х+8/27=176/9*1/12

x+8/27=176/108

x=176/108-8/27

x=176/108-32/108

x=144/108=1 1/3

Answer 2

To solve the equation:

(x + 8/27) ÷ (19 5/9) = 1/12

First, let's convert the mixed number (19 5/9) into an improper fraction.

19 5/9 = (19 * 9 + 5)/9 = 171/9 + 5/9 = 176/9

Now, the equation becomes:

(x + 8/27) ÷ (176/9) = 1/12

To divide by a fraction, we multiply by its reciprocal. So, we can rewrite the equation as:

(x + 8/27) * (9/176) = 1/12

Now, we can simplify the expression:

(9/176) * x + (9/176) * (8/27) = 1/12

9x/176 + 72/4752 = 1/12

To eliminate the fractions, we can multiply through by the least common multiple (LCM) of the denominators, which is 4752:

4752 * (9x/176) + 4752 * (72/4752) = 4752 * (1/12)

4752 * (9x/176) + 72 = 396

Simplifying further:

(4752 * 9x)/176 + 72 = 396

Now, let's isolate the term with 'x' on one side:

4752 * 9x/176 = 396 - 72

4752 * 9x/176 = 324

Multiply both sides by (176/4752) to isolate 'x':

x = (324 * 176)/(4752 * 9)

x ≈ 0.1767

Therefore, the approximate value of 'x' that satisfies the equation is 0.1767.