Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №3149720
А
Аноним
28 апреля 2025 13:37 · публичный вопрос
А
Аноним

-3,69+6 2/13-1,31+8 11/13

Ответ нейросети
28 апреля 2025 13:37

Let's evaluate the expression step by step:

Expression: \(-3,69 + 6 \tfrac{2}{13} - 1,31 + 8 \tfrac{11}{13}\)

Step 1: Convert the mixed numbers into improper fractions or decimal equivalents

  • \(6 \tfrac{2}{13}\):

\[ 6 + \frac{2}{13} = \frac{6 \times 13 + 2}{13} = \frac{78 + 2}{13} = \frac{80}{13} \approx 6.1538 \]

  • \(8 \tfrac{11}{13}\):

\[ 8 + \frac{11}{13} = \frac{8 \times 13 + 11}{13} = \frac{104 + 11}{13} = \frac{115}{13} \approx 8.8462 \]

Step 2: Convert all numbers to decimal form for easier addition

  • \(-3,69\) (assuming comma as decimal separator): \(-3.69\)
  • \(6 \tfrac{2}{13} \approx 6.1538\)
  • \(-1,31\): \(-1.31\)
  • \(8 \tfrac{11}{13} \approx 8.8462\)

Step 3: Sum all terms

\[ (-3.69) + 6.1538 + (-1.31) + 8.8462 \]

Calculate step by step:

  • \(-3.69 + 6.1538 = 2.4638\)
  • \(2.4638 - 1.31 = 1.1538\)
  • \(1.1538 + 8.8462 = 10.0\)

Final result:

\(\boxed{10}\)

Answer: \(\boxed{10}\)