Question

В2. Вычислите:37:2 3/17-17,8+1 2/7.​

Answer 1

Ответ:

37:23:17-17,8+12:7=15

Answer 2

Ответ:

37:2 3/17-17,8+1 2/7=15

Answer 3

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

P - Parentheses/Brackets E - Exponents/Orders MD - Multiplication and Division (from left to right) AS - Addition and Subtraction (from left to right)

Let's break down the expression step by step:

1. Divide 37 by 2: 37 ÷ 2 = 18.5

2. Convert the mixed numbers to improper fractions: 3/17 = (17 * 0 + 3) / 17 = 3/17 1 2/7 = (7 * 1 + 2) / 7 = 9/7

3. Perform the operations with fractions: 3/17 - 9/7 = (3 * 7 - 17 * 9) / (17 * 7) = (21 - 153) / 119 = -132 / 119

4. Add the decimal number: -132 / 119 - 17.8 + 1 2/7

5. Convert 1 2/7 to an improper fraction: 1 2/7 = (7 * 1 + 2) / 7 = 9/7

6. Perform the operations with fractions and decimals: -132 / 119 - 17.8 + 9/7 = -132 / 119 - 17.8 + 9/7

7. Find a common denominator for the fractions: The common denominator for 119 and 7 is 119.

8. Convert the decimal number to a fraction with a denominator of 119: -17.8 = -178/10 = -89/5 (multiply both numerator and denominator by 2)

9. Rewrite the expression with a common denominator: -132 / 119 - 89/5 + 9/7

10. Perform the operations with fractions: -132 / 119 - 89/5 + 9/7 = (-132 * 5 + 119 * (-89) + 9 * 17) / (119 * 5 * 7)

11. Calculate the numerator: (-132 * 5 + 119 * (-89) + 9 * 17) = (-660 - 10591 + 153) = -10998

12. Calculate the denominator: (119 * 5 * 7) = 8335

13. Simplify the fraction: -10998 / 8335

The expression is now simplified to -10998 / 8335. If you need a decimal approximation, you can divide -10998 by 8335:

-10998 ÷ 8335 ≈ -1.318