Question

20÷(6 3/14 +1 11/14)-(4 1/4-2 3/4)÷5=

Answer 1

Ответ:

20:(6 3/14 + 1 11/14)-(4 1/4-2 3/4):5= 2 1/5

Answer 2

To solve the given expression, we'll follow the order of operations (PEMDAS/BODMAS) to simplify it step by step.

Step 1: Simplify the fractions within parentheses.

6 3/14 + 1 11/14 = 6 + 1 + 3/14 + 11/14 = 7 + 14/14 + 11/14 = 7 + 25/14 = 7 + 1 11/14 = 8 11/14

4 1/4 - 2 3/4 = 4 - 2 + 1/4 - 3/4 = 2 + 1/4 - 3/4 = 2 - 2/4 = 2 - 1/2 = 1 1/2

Step 2: Substitute the simplified values back into the expression.

20 ÷ (8 11/14) - (1 1/2) ÷ 5

Step 3: Simplify the division within parentheses first.

20 ÷ (8 11/14) = 20 ÷ (117/14) = 20 × (14/117) = (20 × 14) / 117 = 280 / 117 = 2.393

Step 4: Simplify the subtraction.

(1 1/2) ÷ 5 = (3/2) ÷ 5 = (3/2) × (1/5) = 3/10 = 0.3

Step 5: Final calculation.

2.393 - 0.3 = 2.093

Therefore, the result of the expression 20 ÷ (6 3/14 + 1 11/14) - (4 1/4 - 2 3/4) ÷ 5 is approximately 2.093.