Question

(6‐4/5)÷(1 1/3‐1/4)×(2 1/3+1 2/5+1/6)=​

Answer 1

Ответ:

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Answer 2

To solve this expression, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's break down the expression step by step:

1. Start with the innermost parentheses:

   a) 6 - 4/5 = 30/5 - 4/5 = (30 - 4)/5 = 26/5

   b) 1 1/3 - 1/4 = (4/3) - (1/4) = (16/12) - (3/12) = 13/12

2. Now, calculate the sum of the mixed numbers:

   2 1/3 + 1 2/5 + 1/6 = (6/3 + 1/3) + (15/5 + 2/5) + (1/6) = 7/3 + 17/5 + 1/6

3. Find a common denominator for the fractions in step 2. The common denominator is 30.

   7/3 = (7/3) * (10/10) = 70/30 17/5 = (17/5) * (6/6) = 102/30 1/6 = (1/6) * (5/5) = 5/30

4. Add the fractions with the common denominator:

   (70/30) + (102/30) + (5/30) = (70 + 102 + 5)/30 = 177/30

Now, let's put everything together:

(26/5) / (13/12) * (177/30)

To simplify further, you can multiply the reciprocal of the second fraction and then multiply:

(26/5) * (12/13) * (177/30)

Now, multiply the fractions together:

(26 * 12 * 177) / (5 * 13 * 30)

Calculate the numerator and denominator:

Numerator: 26 * 12 * 177 = 56,592 Denominator: 5 * 13 * 30 = 1,950

So, the simplified result of the expression is:

56,592 / 1,950 = 291.2

So, (6-4/5) / (1 1/3 - 1/4) * (2 1/3 + 1 2/5 + 1/6) = 291.2