Question

X- (-25/47) : (-2 2/9) = -13,6

Answer 1

$x - ( - \frac{25}{47} ) \div ( - \frac{22}{9} ) = - 13.6$



Первое действие: убираем скобки
$x - \frac{25}{47} \times \frac{9}{22} = - 13.6$
Второе действие:
$x - \frac{25 \times 9}{47 \times 22 } = - 13.6$
Третье действие: решение
$x - \frac{225}{1034} = - 13.6$
Четвертое действие:
$x = - 13.6 + \frac{225}{1034}$
Ответ:
$x = - 13 \frac{1977}{5170}$

Answer 2

To solve the expression X- (-25/47) : (-2 2/9) and get the result -13.6, we can follow these steps:

1. Start by converting the mixed number (-2 2/9) to an improper fraction.
2. Perform the division (-25/47) : (-2 2/9).
3. Subtract the result of the division from X to get -13.6.

Step 1: Convert (-2 2/9) to an improper fraction: To convert the mixed number to an improper fraction, multiply the whole number (-2) by the denominator of the fraction (9) and then add the numerator (2). The result becomes the new numerator, and the denominator remains the same.

(-2 2/9) = (-2 * 9 + 2)/9 = (-18 + 2)/9 = -16/9

Step 2: Perform the division (-25/47) : (-2 2/9): To divide fractions, we invert the second fraction and multiply them.

(-25/47) : (-2 2/9) = (-25/47) * (-9/16)

Now, multiply the numerators together and the denominators together:

(-25 * -9) / (47 * 16) = 225 / 752

Step 3: Subtract the result of the division from X to get -13.6: Let X be the unknown value:

X - 225/752 = -13.6

To isolate X, add 225/752 to both sides:

X = -13.6 + 225/752

Now, convert -13.6 to a fraction with the same denominator as 752:

-13.6 = -13 6/10 = -13 3/5

Now, rewrite -13 3/5 as an improper fraction:

-13 3/5 = (-13 * 5 + 3)/5 = (-65 + 3)/5 = -62/5

Now add -62/5 to 225/752:

X = -62/5 + 225/752

To combine the fractions, find a common denominator, which is 3760 (the least common multiple of 5 and 752):

X = (-62 * 752)/(5 * 752) + (225 * 5)/(752 * 5) X = (-46624 + 1125)/3760 X = -45599/3760

The result is X ≈ -12.1494680851

It seems there might be an error in the initial expression or calculation since the result is not exactly -13.6. Please double-check the original expression for accuracy.