Question

2/2/7*2/5/6-1/3/4*2/2/7+2/2/7*2/3=?​

Answer 1

Ответ:

182/15

2/2/7•2/5/6-01/3/4•2/2/7+2/2/7•2/3=7/1•12/5-4/3•7/1+7/1•.2/3.

84/5-28/3+14/3=252/15-140/15+70/15=182/15

Пошаговое объяснение:

Двойная черта значит, что мы число делим на дробь: к примеру: 2/2/7-то есть мы делим 2 на 2/7.

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To solve this expression, we need to follow the order of operations, which is typically remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

Let's break down the expression step by step:

1. Simplify the multiplication and division from left to right: 2/2/7 * 2/5/6 - 1/3/4 * 2/2/7 + 2/2/7 * 2/3

   2/2/7 = 2 ÷ 2 ÷ 7 = 2 ÷ (2 × 7) = 2 ÷ 14 = 1/7

   2/5/6 = 2 ÷ 5 ÷ 6 = 2 ÷ (5 × 6) = 2 ÷ 30 = 1/15

   1/3/4 = 1 ÷ 3 ÷ 4 = 1 ÷ (3 × 4) = 1 ÷ 12

   Therefore, the expression becomes:

   1/7 * 1/15 - 1/12 * 1/7 + 1/7 * 2/3

2. Continue simplifying the expression:

   1/7 * 1/15 = (1 × 1) ÷ (7 × 15) = 1/105

   1/12 * 1/7 = (1 × 1) ÷ (12 × 7) = 1/84

   1/7 * 2/3 = (1 × 2) ÷ (7 × 3) = 2/21

3. Substitute the simplified values back into the expression:

   1/105 - 1/84 + 2/21

4. Find the common denominator for the fractions:

   The least common multiple of 105, 84, and 21 is 420.

   1/105 = (1 × 4) ÷ (105 × 4) = 4/420

   1/84 = (1 × 5) ÷ (84 × 5) = 5/420

   2/21 = (2 × 20) ÷ (21 × 20) = 40/420

5. Substitute the new fractions back into the expression:

   4/420 - 5/420 + 40/420

6. Combine the fractions:

   4/420 - 5/420 + 40/420 = (4 - 5 + 40) / 420 = 39/420

Therefore, the simplified value of the expression 2/2/7 * 2/5/6 - 1/3/4 * 2/2/7 + 2/2/7 * 2/3 is 39/420.