Question

(08-2/5-1 3/5)×(4,28+5 8/25-1,4)=​

Answer 1

Переводим десятичные дроби в смешанные, а после в неправильные:

0,8 = $\frac{8}{10}$

4,28 = $4\frac{28}{100} = \frac{428}{100}$

1,4 = $1\frac{4}{10} = \frac{14}{10}$

$(\frac{8}{10} - \frac{2}{5} - \frac{8}{5}) * (\frac{428}{100} + \frac{133}{25} - \frac{14}{10}) = -9,84$

1) $\frac{8}{10} - \frac{2}{5} - \frac{8}{5} = \frac{8}{10} - \frac{4}{10} - \frac{16}{10} = -\frac{12}{10} = -1,2$

2) $\frac{428}{100} + \frac{133}{25} - \frac{14}{10} = \frac{428}{100} + \frac{532}{100} - \frac{140}{100} = \frac{820}{100} = 8,2$

3) -1,2 * 8,2 = -9,84

Ответ: -9,84.

Answer 2

To simplify the expression (08-2/5-1 3/5)×(4,28+5 8/25-1,4), let's break it down step by step:

Step 1: Simplify the expressions within the parentheses.

Inside the first parentheses: 08 - 2/5 - 1 3/5 = 8 - 2/5 - 1 - 3/5 = 8 - 1 - 2/5 - 3/5 = 7 - 5/5 = 7 - 1 = 6

Inside the second parentheses: 4,28 + 5 8/25 - 1,4 = 4.28 + 5 + 8/25 - 1.4 = 9.28 + 8/25 - 1.4

Step 2: Convert the mixed fractions to improper fractions.

8/25 = (8 * 1) / (25 * 1) = 8/25 5 8/25 = (5 * 25 + 8) / 25 = 133/25

Step 3: Perform the addition and subtraction within the second parentheses.

9.28 + 133/25 - 1.4 = 9.28 - 1.4 + 133/25 = 7.88 + 133/25

Step 4: Convert the mixed number to a decimal.

133/25 = 5.32

Step 5: Perform the multiplication.

6 × (7.88 + 133/25) = 6 × (7.88 + 5.32) = 6 × 13.2 = 79.2

Therefore, the simplified expression is 79.2.