Question

А)8,02*3,5+26,64:33,3-9,7 Б)1цел8|9*(1цел3|4-3цел1|6

Answer 1

А) 1) 8,02*3,5=28,07

2) 26,64:33,3=0,8

3)28,07+0,8=28,87

4)28,87-9,7=19,17

Ответ: 19,17

Б)1) 1 3/4 - 3 1/6 = 1/4

2) 1 8/9 * 1/4 = 2/9

Ответ: 2/9

Answer 2

To solve the given expressions, let's tackle them step by step:

А) $8.02 \times 3.5 + \frac{26.64}{33.3} - 9.7$

Step 1: Perform multiplication and division first. $8.02 \times 3.5 = 28.07$

Step 2: Divide 26.64 by 33.3. $\frac{26.64}{33.3} \approx 0.7994$ (rounded to four decimal places).

Now the expression becomes: $28.07 + 0.7994 - 9.7$

Step 3: Perform addition and subtraction from left to right. $28.07 + 0.7994 = 28.8694$ $28.8694 - 9.7 = 19.1694$

So, the result is approximately $19.1694$ (rounded to four decimal places).

Б) $1\frac{8}{9} \times (1\frac{3}{4} - 3\frac{1}{6})$

Step 1: Solve the expression inside the parentheses first. $1\frac{3}{4} - 3\frac{1}{6}$

Step 2: Convert the mixed fractions to improper fractions: $1\frac{3}{4} = \frac{4+3}{4} = \frac{7}{4}$ $3\frac{1}{6} = \frac{6 \times 3 + 1}{6} = \frac{19}{6}$

Now the expression inside the parentheses becomes: $\frac{7}{4} - \frac{19}{6}$

Step 3: Find a common denominator for the fractions (in this case, it's 12). $\frac{7}{4} \times \frac{3}{3} = \frac{21}{12}$ $\frac{19}{6} \times \frac{2}{2} = \frac{38}{12}$

Now the expression inside the parentheses becomes: $\frac{21}{12} - \frac{38}{12}$

Step 4: Perform the subtraction of fractions. $\frac{21}{12} - \frac{38}{12} = -\frac{17}{12}$

Now the expression becomes: $1\frac{8}{9} \times \left(-\frac{17}{12}\right)$

Step 5: Convert the mixed fraction to an improper fraction: $1\frac{8}{9} = \frac{9+8}{9} = \frac{17}{9}$

Now the expression becomes: $\frac{17}{9} \times \left(-\frac{17}{12}\right)$

Step 6: Perform the multiplication of fractions. $\frac{17}{9} \times \left(-\frac{17}{12}\right) = -\frac{289}{108}$

So, the result is $-\frac{289}{108}$.