Question

4*2/3 - 6*3/7 - (-1*2/9) + 5*10/21

Answer 1

Данный ответ представлен фотографией.

Answer 2

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

Given expression: 4 * 2 / 3 - 6 * 3 / 7 - (-1 * 2 / 9) + 5 * 10 / 21

Let's break down the steps:

1. 4 * 2 / 3 = 8 / 3
2. 6 * 3 / 7 = 18 / 7
3. -(-1 * 2 / 9) = 2 / 9
4. 5 * 10 / 21 = 50 / 21

Now substitute these values back into the expression:

8 / 3 - 18 / 7 + 2 / 9 + 50 / 21

Next, find a common denominator for the fractions. The common denominator of 3, 7, 9, and 21 is 63.

1. Convert each fraction to have a denominator of 63:
   • 8 / 3 = 168 / 63
   • 18 / 7 = 162 / 63
   • 2 / 9 = 14 / 63
   • 50 / 21 = 250 / 63

Now the expression becomes:

168 / 63 - 162 / 63 + 14 / 63 + 250 / 63

Combine the numerators:

(168 - 162 + 14 + 250) / 63 = 270 / 63

Simplify the fraction:

270 ÷ 63 = 4 with a remainder of 18

So, the final result is: 4 + 18/63

You can simplify the fraction 18/63 by dividing both the numerator and denominator by their greatest common divisor, which is 9:

18 ÷ 9 / 63 ÷ 9 = 2 / 7

Therefore, the result of the expression is approximately:

4 + 2 / 7 ≈ 4.2857