Question

(x + 5 4/11) - 6 7/11 = 1 6/11​

Answer 1

При сложений/разности дробей мы ищем общий знаменатель,в данном случае мы перевели смешанные дроби в неправильные, и знаменатели равны 11

Поэтому складываем/отнимаем только числители

Пошаговое объяснение:

(x + 5 4/11) - 6 7/11 = 1 6/11

x+5 4/11= 1 6/11+6 7/11

x+5 4/11=17/11+73/11

x+5 4/11= 90/11

x= 90/11- 59/11

x= 31/11= 2 9/11

Answer 2

Ответ:

Пошаговое объяснение:

(x + 5 4/11) - 6 7/11 = 1 6/11​

х + 5 4/11 = 1 6/11 + 6 7/11

х+ 5 4/11=  8 2/11

х= 8 2/11- 5 4/11

х= 7 13/11 - 5 4/11

х= 2 9/11

Answer 3

To solve the equation, let's first convert all the mixed numbers into improper fractions:

x + 5 4/11 - 6 7/11 = 1 6/11

5 4/11 can be written as an improper fraction by multiplying the whole number (5) by the denominator (11) and adding the numerator (4):

5 4/11 = (5 * 11 + 4)/11 = 59/11

Similarly, 6 7/11 can be written as:

6 7/11 = (6 * 11 + 7)/11 = 73/11

1 6/11 remains the same.

Now we can substitute these values back into the equation:

x + 59/11 - 73/11 = 1 6/11

To combine the fractions on the left side, we need a common denominator, which in this case is 11:

x + (59 - 73)/11 = 1 6/11

Simplifying further:

x + (-14)/11 = 1 6/11

To add the mixed number 1 6/11, we multiply the whole number (1) by the denominator (11) and add the numerator (6) to get the numerator of the new fraction:

1 6/11 = (1 * 11 + 6)/11 = 17/11

Now we have:

x - 14/11 = 17/11

To isolate x, we subtract 14/11 from both sides of the equation:

x - 14/11 + 14/11 = 17/11 + 14/11

x = (17 + 14)/11

Simplifying the right side:

x = 31/11

Therefore, the solution to the equation is x = 31/11.