Question

(4-2/3) :(1 3/5-1/10) ×(1 1/3+2 2/2+1/6) ​

Answer 1

Ответ:

10

Пошаговое объяснение:

(4 - 2/3) : (1 3/5 - 1/10) * (1 1/3 + 2 2/2 + 1/6)

считаем первую скобку

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

вторую скобку

1 3/5 - 1/10 = 1 6/10 - 1/10 = 1 5/10

третью скобку

1 1/3 + 2 2/2 + 1/6 = 1 2/6 + 2 6/6 + 1/6 = 3 9/6 = 4 3/6

теперь делим

3 1/3 : 1 5/10 = 10/3 : 15/10 = 10/3 * 10/15 = 20/9

и умножаем

20/9 * 4 3/6 = 20/9 * 27/6 = 30/3 = 10

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Answer 2

To solve this expression step by step, follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction):

Step 1: Simplify the expressions inside the parentheses and fractions:

1. (4 - 2/3) becomes (12/3 - 2/3) = (10/3)
2. (1 3/5 - 1/10) becomes (8/5 - 1/10) = (16/10 - 1/10) = (15/10) = (3/2)
3. (1 1/3 + 2 2/2 + 1/6) becomes (4/3 + 4/2 + 1/6) = (4/3 + 2 + 1/6)

Step 2: Find a common denominator for the fractions in step 1:

1. (10/3)
2. (3/2)
3. (4/3 + 2 + 1/6) = (8/6 + 12/6 + 1/6) = (21/6)

Step 3: Perform the division and multiplication:

(10/3) ÷ (3/2) × (21/6)

To divide fractions, multiply by the reciprocal of the second fraction:

(10/3) × (2/3) × (21/6)

Now, multiply the fractions:

(10 × 2 × 21) / (3 × 3 × 6)

Calculate the numerator and denominator separately:

Numerator: 10 × 2 × 21 = 420 Denominator: 3 × 3 × 6 = 54

So, the final result is:

420 / 54

Now, simplify this fraction by finding the greatest common divisor (GCD) of 420 and 54, which is 6:

(420 / 6) / (54 / 6) = 70 / 9

Therefore, the final result is:

70 / 9 or 7 and 7/9 (as a mixed number).