Question

(4⅕+1,2)÷(3⁴/⁷×2⅘-7,3=​

Answer 1

ответ:2

решение в фото по очереди

обяснение

Answer 2

To evaluate the given expression, let's break it down step by step:

Step 1: Simplify the expression inside the parentheses: (3⁴/⁷ × 2⅘ - 7.3)

First, let's calculate 3⁴/⁷: 3⁴ = 3 × 3 × 3 × 3 = 81 ⁷√81 = 3 (taking the seventh root of 81)

Next, let's convert 2⅘ to an improper fraction: 2⅘ = (2 × 5 + 4) / 5 = 14/5

Now we can substitute these values back into the expression: (3⁴/⁷ × 2⅘ - 7.3) = (3 × 14/5 - 7.3) = (42/5 - 7.3)

Step 2: Calculate the subtraction: (42/5 - 7.3)

To perform this subtraction, we need to find a common denominator: The denominator of 42/5 is already 5, so we don't need to change it. The denominator of 7.3 is 1, so we need to multiply it by 5 to get a denominator of 5: 7.3 × 5 = 36.5

Now we can subtract the fractions: (42/5 - 36.5/5) = (42 - 36.5) / 5 = 5.5 / 5

Step 3: Calculate the division: (4⅕ + 1.2) ÷ (5.5/5)

First, convert 4⅕ to an improper fraction: 4⅕ = (4 × 5 + 1) / 5 = 21/5

Now substitute the values back into the expression: (21/5 + 1.2) ÷ (5.5/5) = (21/5 + 1.2) ÷ (11/2)

Step 4: Calculate the addition: (21/5 + 1.2)

To perform this addition, we need to find a common denominator: The denominator of 21/5 is already 5, so we don't need to change it. The denominator of 1.2 is 1, so we need to multiply it by 5 to get a denominator of 5: 1.2 × 5 = 6

Now we can add the fractions: (21/5 + 6/5) = (21 + 6) / 5 = 27 / 5

Step 5: Calculate the division: (27/5) ÷ (11/2)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction: (27/5) ÷ (11/2) = (27/5) × (2/11)

Now we can multiply the fractions: (27/5) × (2/11) = (27 × 2) / (5 × 11) = 54/55

Therefore, the result of the given expression is 54/55.