Question

(7- 3 8/9×3/7)÷3 1/9- 4 5/7=

Answer 1

(7 - 3 8/9 · 3/7) : 3 1/9 - 4 5/7 = -3

1) 3 8/9 · 3/7 = 35/9 · 3/7 = (5·1)/(3·1) = 5/3 = 1 2/3

2) 7 - 1 2/3 = 6 3/3 - 1 2/3 = 5 1/3

3) 5 1/3 : 3 1/9 = 16/3 : 28/9 = 16/3 · 9/28 = (4·3)/(1·7) = 12/7 = 1 5/7

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

Ответ: (-3).

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. First, we evaluate the multiplication and division inside the parentheses:

   7 - (38/9 × 3/7) ÷ 3 1/9 - 4 5/7

   38/9 × 3/7 = (38 × 3) / (9 × 7) = 114 / 63 = 38 / 21

   So, the expression becomes:

   7 - (38/21) ÷ 3 1/9 - 4 5/7

2. Now, we perform the division inside the parentheses:

   (38/21) ÷ 3 1/9 = (38/21) ÷ (28/9)

   To divide fractions, you multiply by the reciprocal:

   (38/21) × (9/28) = (38 × 9) / (21 × 28) = 342 / 588

   We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (6):

   (342 ÷ 6) / (588 ÷ 6) = 57 / 98

   So, the expression becomes:

   7 - 57/98 - 4 5/7

3. Now, we deal with the subtraction:

   To subtract mixed numbers, you need to find a common denominator. In this case, it's 98.

   7 is equivalent to 686/98, and 4 5/7 is equivalent to 33/7.

   So, the expression becomes:

   (686/98) - (57/98) - (33/7)

4. Now, subtract the fractions with the common denominator:

   (686 - 57) / 98 - (33/7)

   629/98 - (33/7)

5. To subtract these fractions, we need a common denominator between 98 and 7, which is 686. So, we'll convert 33/7 to an equivalent fraction with a denominator of 686:

   (33/7) × (98/98) = 231/686

   Now, the expression becomes:

   (629/98) - (231/686)

6. Find a common denominator for the fractions:

   The common denominator is 686.

   (629/98) × (7/7) = 4393/686

   Now, the expression becomes:

   (4393/686) - (231/686)

7. Finally, subtract the fractions:

   (4393/686) - (231/686) = (4393 - 231) / 686 = 4162/686

   Now, you can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 98:

   (4162 ÷ 98) / (686 ÷ 98) = 43/7

So, the final result is:

43/7