Question

2) 53.5-14 1/6 × 1 1/17+8 2/3​

Answer 1

Ответ:

Пошаговое объяснение:

14 1/6 * 1 1/17 = 85/6 * 18/17 = 15

53,5 - 15 + 8 2/3 = 38,5 + 8 2/3 = 38 1/2 + 8 2/3 = 46 + (1/2 + 2/3) =  

46 + (3/6 + 4/6) = 47 1/6

Answer 2

To solve the expression 53.5 - 14 1/6 × 1 1/17 + 8 2/3, you should follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

1. Start with the multiplication and division from left to right:

   • 14 1/6 × 1 1/17 = (85/6) × (18/17) ≈ 10.208.

2. Now, rewrite the expression with the multiplication/division result: 53.5 - 10.208 + 8 2/3.

3. Next, deal with the addition and subtraction from left to right:

   • 53.5 - 10.208 + 8 2/3 = 43.292 + 8 2/3.

4. Convert the mixed number (8 2/3) to an improper fraction: 8 2/3 = (3 * 8 + 2)/3 = 26/3.

5. Now, rewrite the expression with the new fraction: 43.292 + 26/3.

6. Add the decimal and fraction: 43.292 + 26/3 = 43.292 + (26/3).

7. To add a decimal and a fraction, you'll need a common denominator. The common denominator for 1 and 3 is 3: 43.292 + (26/3) = 43.292 + (26/3) * (1/1) = 43.292 + (26/3) * (1/1) * (3/3) = 43.292 + (26/3) * (3/3) = 43.292 + (78/3).

8. Add the fractions: 43.292 + 78/3 = 43.292 + 26.

9. Finally, add the whole numbers and fractions together: 43.292 + 26 = 69.292.

So, the result of the expression 53.5 - 14 1/6 × 1 1/17 + 8 2/3 is approximately 69.292.