Let's break down the calculation step-by-step:
- Calculate the term in the first parenthesis:
\[ 1.6^2 = 2.56 \]
\[ 2.4 \times 1.5 = 3.6 \]
\[ 2.56 - 3.6 = -1.04 \] - Convert the mixed number to a fraction:
\[ 3 \frac{1}{5} = \frac{(3 \times 5) + 1}{5} = \frac{16}{5} \] - 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:
\[ -\frac{130}{400} = -\frac{13}{40} \] - 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