Question

А) (4 1/9-а)+8 5/9=9 2/9 б)5 3/7-(b-2 1/7)=2 4/7

Answer 1

Вот...............................

Answer 2

Ответ: а) а=3 4/9 ; б) b=5.
(решение на фото)

Answer 3

Let's solve the given equations step by step:

a) (4 1/9 - a) + 8 5/9 = 9 2/9

To begin, let's convert the mixed numbers into improper fractions:

4 1/9 = (4 * 9 + 1) / 9 = 37/9

8 5/9 = (8 * 9 + 5) / 9 = 77/9

9 2/9 = (9 * 9 + 2) / 9 = 83/9

Substituting these values into the equation, we have:

(37/9 - a) + 77/9 = 83/9

To simplify, we can combine the fractions with a common denominator:

(37 - 9a + 77) / 9 = 83/9

Now, let's solve for 'a'. Multiplying both sides of the equation by 9:

37 - 9a + 77 = 83

Combine like terms:

114 - 9a = 83

Subtract 114 from both sides:

-9a = 83 - 114

-9a = -31

Divide both sides by -9:

a = -31 / -9

Simplifying the fraction:

a = 31/9

Therefore, the value of 'a' that satisfies the equation is 31/9.

b) 5 3/7 - (b - 2 1/7) = 2 4/7

Let's convert the mixed numbers into improper fractions:

5 3/7 = (5 * 7 + 3) / 7 = 38/7

2 4/7 = (2 * 7 + 4) / 7 = 18/7

2 1/7 = (2 * 7 + 1) / 7 = 15/7

Substituting these values into the equation, we have:

38/7 - (b - 15/7) = 18/7

To simplify, we'll distribute the negative sign:

38/7 - b + 15/7 = 18/7

Combine like terms:

(38 + 15)/7 - b = 18/7

53/7 - b = 18/7

To isolate 'b', let's subtract 53/7 from both sides:

-b = 18/7 - 53/7

-b = (18 - 53)/7

-b = -35/7

Multiplying both sides by -1 to solve for 'b':

b = 35/7

Simplifying the fraction:

b = 5

Therefore, the value of 'b' that satisfies the equation is 5.