3,5*6/7+5/4*56/21+5/7-15/35

(22/33-19/38+14/16)*(22/33+7/28)


(4/3+1/5)-(4/15*5/16-4/15*28/5)*0,6+3/5*0,25

Let's solve each of the expressions step by step:

### 1. Expression: 
\[
3.5 \times \frac{6}{7} + \frac{5}{4} \times \frac{56}{21} + \frac{5}{7} - \frac{15}{35}
\]

#### Step-by-step:
- \( 3.5 \times \frac{6}{7} = 3 \)
- \( \frac{5}{4} \times \frac{56}{21} = \frac{280}{84} = \frac{10}{3} \)
- \( \frac{5}{7} = \frac{5}{7} \)
- \( \frac{15}{35} = \frac{3}{7} \)

Thus, the expression becomes:
\[
3 + \frac{10}{3} + \frac{5}{7} - \frac{3}{7}
\]

Simplifying:
\[
3 + \frac{10}{3} + \frac{2}{7}
\]

To add these, we need a common denominator for \(3\), which is 21:
\[
3 = \frac{63}{21}, \quad \frac{10}{3} = \frac{70}{21}, \quad \frac{2}{7} = \frac{6}{21}
\]

Adding them:
\[
\frac{63 + 70 + 6}{21} = \frac{139}{21}
\]

So, the result is:
\[
\boxed{\frac{139}{21}} \quad \text{or approximately } 6.62
\]

---

### 2. Expression: 
\[
\left( \frac{22}{33} - \frac{19}{38} + \frac{14}{16} \right) \times \left( \frac{22}{33} + \frac{7}{28} \right)
\]

#### Step-by-step:
- \( \frac{22}{33} = \frac{2}{3} \), and \( \frac{14}{16} = \frac{7}{8} \)
- So, the first part becomes: 
  \[
  \frac{2}{3} - \frac{19}{38} + \frac{7}{8}
  \]
  Finding a common denominator:
  \[
  \frac{2}{3} = \frac{152}{228}, \quad \frac{19}{38} = \frac{114}{228}, \quad \frac{7}{8} = \frac{199.5}{228}
  \]
  So the expression becomes:
  \[
  \frac{152-114+199.5}{228} = \frac{237.5}{228}
  \]
- For the second part: 
  \[
  \frac{2}{3} + \frac{7}{28}
  \]
  Common denominator gives:
  \[
  \frac{2}{3} = \frac{56}{84}, \quad \frac{7}{28} = \frac{21}{84}
  \]
  So, this becomes:
  \[
  \frac{56+21}{84} = \frac{77}{84} = \frac{11}{12}
  \]
- Now multiplying:
  \[
  \frac{237.5}{228} \times \frac{11}{12} = \frac{237.5 \times 11}{228 \times 12}
  \]

The result is:
\[
\boxed{\frac{2612.5}{2736}} \quad \text{or approximately } 0.954
\]

---

### 3. Expression: 
\[
\left( \frac{4}{3} + \frac{1}{5} \right) - \left( \frac{4}{15} \times \frac{5}{16} - \frac{4}{15} \times \frac{28}{5} \right) \times 0.6 + \frac{3}{5} \times 0.25
\]

#### Step-by-step:
- \( \frac{4}{3} + \frac{1}{5} = \frac{20}{15} + \frac{3}{15} = \frac{23}{15} \)
- \( \frac{4}{15} \times \frac{5}{16} = \frac{20}{240} = \frac{1}{12} \)
- \( \frac{4}{15} \times \frac{28}{5} = \frac{112}{75} \)

Now simplifying:
\[
\frac{1}{12} - \frac{112}{75} = \frac{25}{300} \text, which gives tan fold

3,5*6/7+5/4*56/21+5/7-15/35

(22/33-19/38+14/16)*(22/33+7/28)

(4/3+1/5)-(4/15*5/16-4/15*28/5)*0.6+3/5*0.25

Learn how to solve complex fractional expressions step-by-step. This problem covers algebraic concepts, including multiplication, addition, and subtraction of fractions, and is suitable for students in Grades 9-11.

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