Question

(1/3+2/9):(9/10-2/5)= (4-2/3)*(1 1/2-3/4)= Помогитес объяснением плиз !!!!

Answer 1

Решения и ответы прикреплены.

Answer 2

Calculating the Expression (1/3 + 2/9) ÷ (9/10 - 2/5)

To solve the expression (1/3 + 2/9) ÷ (9/10 - 2/5), we can follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, let's calculate the value of (1/3 + 2/9): 1/3 + 2/9 = (3/9 + 2/9) = 5/9

Now, let's calculate the value of (9/10 - 2/5): 9/10 - 2/5 = (9/10 - 4/10) = 5/10 = 1/2

So, the expression becomes: (5/9) ÷ (1/2)

To divide by a fraction, we can multiply by its reciprocal. Therefore: (5/9) ÷ (1/2) = (5/9) * (2/1) = 10/9

So, the value of the expression (1/3 + 2/9) ÷ (9/10 - 2/5) is 10/9.

Calculating the Expression (4 - 2/3) * (1 + 1/2 - 3/4)

Next, let's solve the expression (4 - 2/3) * (1 + 1/2 - 3/4).

First, let's calculate the value of (1 + 1/2 - 3/4): 1 + 1/2 - 3/4 = (2/2 + 1/2 - 3/4) = 4/4 + 2/4 - 3/4 = 3/4

Now, let's calculate the value of (4 - 2/3): 4 - 2/3 = (12/3 - 2/3) = 10/3

So, the expression becomes: (10/3) * (3/4)

Multiplying these fractions, we get: (10/3) * (3/4) = 10/4 = 5/2

Therefore, the value of the expression (4 - 2/3) * (1 + 1/2 - 3/4) is 5/2.

In summary: - The value of the expression (1/3 + 2/9) ÷ (9/10 - 2/5) is 10/9. - The value of the expression (4 - 2/3) * (1 + 1/2 - 3/4) is 5/2.