Вопрос:

Solve the expression: (1,6^2 - 2,4 * 1,5) : (3 1/5) + 1

Смотреть решения всех заданий с листа

Ответ:

Let's break down the calculation step-by-step:

  1. Calculate the term in the first parenthesis:
    \[ 1.6^2 = 2.56 \]
    \[ 2.4 \times 1.5 = 3.6 \]
    \[ 2.56 - 3.6 = -1.04 \]
  2. Convert the mixed number to a fraction:
    \[ 3 \frac{1}{5} = \frac{(3 \times 5) + 1}{5} = \frac{16}{5} \]
  3. Divide the result from step 1 by the fraction from step 2:
    \[ -1.04 \div \frac{16}{5} \]
    To divide by a fraction, we multiply by its reciprocal:
    \[ -1.04 \times \frac{5}{16} \]
    Convert -1.04 to a fraction: -1.04 = -\frac{104}{100} = -\frac{26}{25}
    \[ -\frac{26}{25} \times \frac{5}{16} = -\frac{26 \times 5}{25 \times 16} = -\frac{130}{400} \]
    Simplify the fraction:
    \[ -\frac{130}{400} = -\frac{13}{40} \]
  4. Add 1 to the result:
    \[ -\frac{13}{40} + 1 = -\frac{13}{40} + \frac{40}{40} = \frac{40 - 13}{40} = \frac{27}{40} \]

To express the answer as a decimal:

  • \[ \frac{27}{40} = 0.675 \]

Ответ: 0,675

ГДЗ по фото 📸
Подать жалобу Правообладателю