Question

(1-2/5) ∙ (2 1/6+1 3/4+(4 2/3-1/5) : 3/5 помогите дам много баллов

Answer 1

Ответ:

8 23/60

Пошаговое объяснение:

(1-2/5)*(2 1/6+1 3/4+(4 2/3-1/5)):3/5=8 23/60

1) 1-2/5=3/5

2) 4 2/3-1/5=4 7/15

3) 2 1/6+1 3/4=3 11/12

4) 3 11/12+4 7/15=8 23/60

5) 3/5*8 23/60=5 3/100

6) 5 3/100:3/5=8 23/60

Answer 2

Solving the Expression (1-2/5) * (2+1/6+1+3/4+(4+2/3-1/5)÷3/5)

To solve the given expression, we can follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, let's simplify the expression step by step:

1. Convert Mixed Numbers to Improper Fractions: - 1-2/5 = (5*1-2)/5 = 3/5 - 2+1/6 = (6*2+1)/6 = 13/6 - 1+3/4 = (4*1+3)/4 = 7/4 - 4+2/3 = (3*4+2)/3 = 14/3

2. Simplify the Expression: - (3/5) * (13/6 + 7/4 + (14/3 - 1/5) ÷ 3/5)

3. Perform Division: - (14/3 - 1/5) ÷ 3/5 = (14/3 - 1/5) * 5/3 - (14/3 - 1/5) * 5/3 = ((5*14-3)/15) * 5/3 = (67/15) * 5/3 = 67/9

4. Substitute the Division Result: - (3/5) * (13/6 + 7/4 + 67/9)

5. Find a Common Denominator: - The common denominator for 6, 4, and 9 is 36.

6. Convert Fractions to Have a Common Denominator: - (3/5) * (13/6 * 6/6 + 7/4 * 9/9 + 67/9 * 4/4) - (3/5) * (78/36 + 63/36 + 268/36)

7. Add the Fractions: - (3/5) * (409/36)

8. Perform Multiplication: - (3/5) * (409/36) = (3*409)/(5*36) = 1227/180

Final Result:

The value of the expression (1-2/5) * (2+1/6+1+3/4+(4+2/3-1/5) ÷ 3/5) is 1227/180.