3 1/9 : 4 2/3 =
( 30 : 27 – 1/3 ) х 2 1/7 + 2/5 =

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вопрос Следующий
вопрос

To solve this math problem, we first need to simplify the fractions in the equation.

3 1/9 can be written as an improper fraction: 3 1/9 = (3*9 + 1)/9 = 28/9

4 2/3 can be written as an improper fraction: 4 2/3 = (4*3 + 2)/3 = 14/3

Now we can perform the division: 14/3 ÷ 28/9 = 14/3 * 9/28 = 126/84 = 21/14 = 3/2

So, the equation simplifies to: 3/2.

Next, let's simplify the expression (30 : 27 - 1/3) * 2 1/7 + 2/5:

(30 : 27 - 1/3) = (30/27 - 1/3) = (10/9 - 1/3) = (10/9 - 3/9) = 7/9

Now, the expression becomes: 7/9 * 2 1/7 + 2/5
2 1/7 = 15/7

Multiplying 7/9 by 15/7 we get: 7/9 * 15/7 = 105/63 = 5/3

Now we can rewrite the expression as: 5/3 + 2/5

Adding 5/3 + 2/5, we get: (55 + 32) / (3*5) = 28/15

Therefore, the final answer is 28/15.