Question

Реши уравнение: 1/3 y-5/9=2 4/9. (4б) сделать дробями 2 задание Вычисли и ответы запиши в порядке убывания. (5б) а) (3 1/6-3 1/12)·4 б) (12/7+1 1/4): 11/14 пж соч умоляю от вас все зависит сделать все в дробях

Answer 1

Ответ:

1)9

2)-4/48

3)5 5/11

Пошаговое объяснение:

1.

1/3y-5/9=2 4/9

1/3y=2 4/9+5/9

1/3y=3

y=1/3:3

y=9

Answer 2

1/3 + y - 5/9 = 2 + 4/9

To solve this equation, we need to combine like terms and isolate the variable y.

First, let's simplify the right side of the equation:

2 + 4/9 = 18/9 + 4/9 = 22/9

Now, let's combine like terms on the left side:

1/3 + y - 5/9 = (3/9)y + (1/3) - 5/9 = (3/9)y + (3/9) - 5/9 = (3/9)y - 2/9

Now, let's set the left side equal to the right side:

(3/9)y - 2/9 = 22/9

To eliminate the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 9:

9 * [(3/9)y - 2/9] = 9 * (22/9)

This simplifies to:

3y - 2 = 22

Now, let's isolate the variable y:

3y = 22 + 2 3y = 24 y = 24/3 y = 8

Therefore, the solution to the equation 1/3 + y - 5/9 = 2 + 4/9 is y = 8.

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For the second problem:

a) (3 + 1/6 - 3 + 1/12) * 4

To solve this expression, let's simplify the addition inside the parentheses first:

3 + 1/6 - 3 + 1/12 = (3 - 3) + (1/6 + 1/12) = 0 + 2/12 = 2/12 = 1/6

Now, let's multiply 1/6 by 4:

(1/6) * 4 = (1 * 4) / 6 = 4/6 = 2/3

Therefore, the answer to (3 + 1/6 - 3 + 1/12) * 4 is 2/3.

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b) (12/7 + 1 + 1/4) : (11/14)

To solve this expression, let's simplify the addition inside the parentheses first:

12/7 + 1 + 1/4 = (12/7) + (1 * 4/4) + 1/4 = 12/7 + 4/4 + 1/4 = 12/7 + 4/4 + 1/4 = 12/7 + 16/4 + 1/4

To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7, 4, and 4 is 28. Let's convert all the fractions to have a denominator of 28:

(12/7) * (4/4) = 48/28 (16/4) * (7/7) = 112/28 (1/4) * (7/7) = 7/28

Now, let's add these fractions:

48/28 + 112/28 + 7/28 = (48 + 112 + 7) / 28 = 167/28

Now, let's divide this fraction by 11/14:

(167/28) : (11/14) = (167/28) * (14/11) = (167 * 14) / (28 * 11) = 2338/308 = 1169/154

Therefore, the answer to (12/7 + 1 + 1/4) : (11/14) is 1169/154.