Question

( 7 - 2/3 )÷ (1 3/4 - 1/6)× (1 1/5 + 2 2/3 + 1/6 5 класс​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. Start with the operations inside parentheses:

Inside the first set of parentheses: 7 - 2/3 = (21/3) - (2/3) = 19/3

Inside the second set of parentheses: 1 3/4 - 1/6 = (7/4) - (1/6) = (21/12) - (2/12) = 19/12

Inside the third set of parentheses: 1 1/5 + 2 2/3 + 1/6 = (6/5) + (8/3) + (1/6)

Now, let's find a common denominator to add these fractions: Common denominator = 30

(6/5) = (6/5) * (6/6) = 36/30 (8/3) = (8/3) * (10/10) = 80/30 (1/6) = (1/6) * (5/5) = 5/30

Now, add them: (36/30) + (80/30) + (5/30) = (36 + 80 + 5) / 30 = 121/30

So, the expression inside the third set of parentheses simplifies to 121/30.

2. Now, perform the division and multiplication:

(19/3) ÷ (19/12) × (121/30)

To divide fractions, you can multiply by the reciprocal (flip the second fraction):

(19/3) * (12/19) * (121/30)

Now, cancel out common factors:

(1/1) * (4/1) * (11/1) = 4 * 11 = 44

So, the result of the expression is 44.