Question

(3+ (1/2- 1/5)/3) ∶ (7-4/5)​

Answer 1

Ответ:

0,5

Пошаговое объяснение:

(3+ (1/2- 1/5)/3) ∶ (7-4/5) = 0,5

1) 1/2 - 1/5/3 = 0,1

2) 3 + 0,1 = 3,1

3) 7 - 4/5 = 35/5 - 4/5 = 31/5

4) 31/10 : 31/5 = 31/10 * 5/31 = 0,5

Answer 2

Ответ: 0,5

Решение:

(3+ (1/2- 1/5)/3) ∶ (7-4/5)

​$(3+(\frac{1}{2} -\frac{1}{5} ):3):(7-\frac{4}{5} )= (3+(\frac{5}{10}-\frac{2}{10} ) :\frac{3}{1} ):(\frac{35}{5}-\frac{4}{5} )=(3+\frac{3}{10} *\frac{1} {3} )*\frac{5}{31} =\\\\\frac{30} {10} +\frac{1}{10} )*\frac{5}{31} =\frac{31}{10} *\frac{5}{31} =\frac{5}{10}=\frac{1}{2}=0,5$

Answer 3

To simplify the given expression, let's follow the order of operations (PEMDAS/BODMAS):

P - Parentheses E - Exponents (Powers and Roots) MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

The expression you provided is:

(3 + (1/2 - 1/5) / 3) : (7 - 4/5)

Let's simplify step by step:

1. Simplify the fractions inside parentheses: (1/2 - 1/5) = (5/10 - 2/10) = 3/10

2. Substitute the simplified fraction back into the expression: (3 + 3/10) / 3 : (7 - 4/5)

3. Simplify further within the parentheses: (30/10 + 3/10) / 3 : (35/5 - 4/5)

4. Combine the fractions in the first part of the expression: (33/10) / 3 : (31/5)

5. Divide the fractions: (33/10) / (15/5) : (31/5)

6. Invert the second fraction and multiply: (33/10) * (5/15) : (31/5)

7. Simplify each multiplication: (11/10) : (31/5)

8. Convert the division to multiplication by taking the reciprocal of the second fraction: (11/10) * (5/31)

9. Multiply the fractions: (55/310)

10. Simplify the fraction: (11/62)

So, the simplified value of the expression is 11/62.