Question

выполните умножение А) 2/9•6, 3/2•7/4, 5 1/3•2 1/2 Б) 2/9•9, 3/5•15/21, 5 2/3•2 3/4 В) 3/7•5, 2/3•5/4, 3 2/3•1 1/3 Г) 4/7•7, 2/7•21/32, 3 2/5•1 2/3 помогите пожалуйста

Answer 1

Ответ:

Пошаговое объяснение:

А)

2/9•6 = (2•6)/9 = 4/3 = 1 1/3

3/2•7/4 = (3•7)/(2•4) = 21/8 = 2 5/8

5 1/3•2 1/2 = 16/3•5/2 = (16•5)/(3•2) = 40/3 = 13 1/3

Б)

2/9•9 = (2•9)/9 = 2

3/5•15/21 = (3•15)/(5•21) = (3•3•5)/(5•3•7) = 3/7

5 2/3•2 3/4 = 17/3•11/4 = (17•11)/(3•4) = 187/12 = 15 7/12

В)

3/7•5 = (3•5)/7 = 15/7 = 2 1/7

2/3•5/4 = (2•5)/(3•4) = 5/(3•2) = 5/6

3 2/3•1 1/3 = 11/3•4/3 = (11•4)/(3•3) = 44/9 = 4 8/9

Г)

4/7•7 = (4•7)/7 = 4

2/7•21/32 = (2•21)/(7•32) = (2•3•7)/(7•2•16) = 3/16

3 2/5•1 2/3 = 17/5•5/3 = (17•5)/(5•3) = 17/3 = 5 2/3

Answer 2

Конечно, давайте выполним умножение для каждого из примеров:

А)

1. $\frac{2}{9} \cdot 6 = \frac{2 \cdot 6}{9} = \frac{12}{9} = \frac{4}{3}$
2. $\frac{3}{2} \cdot \frac{7}{4} = \frac{3 \cdot 7}{2 \cdot 4} = \frac{21}{8}$
3. $5\frac{1}{3} \cdot 2\frac{1}{2} = \left(5 + \frac{1}{3}\right) \cdot \left(2 + \frac{1}{2}\right) = \left(\frac{16}{3}\right) \cdot \left(\frac{5}{2}\right) = \frac{80}{6} = \frac{40}{3}$

Б)

1. $\frac{2}{9} \cdot 9 = 1$
2. $\frac{3}{5} \cdot \frac{15}{21} = \frac{3 \cdot 15}{5 \cdot 21} = \frac{45}{105} = \frac{3}{7}$
3. $5\frac{2}{3} \cdot 2\frac{3}{4} = \left(5 + \frac{2}{3}\right) \cdot \left(2 + \frac{3}{4}\right) = \left(\frac{17}{3}\right) \cdot \left(\frac{11}{4}\right) = \frac{187}{12}$

В)

1. $\frac{3}{7} \cdot 5 = \frac{15}{7}$
2. $\frac{2}{3} \cdot \frac{5}{4} = \frac{2 \cdot 5}{3 \cdot 4} = \frac{10}{12} = \frac{5}{6}$
3. $3\frac{2}{3} \cdot 1\frac{1}{3} = \left(3 + \frac{2}{3}\right) \cdot \left(1 + \frac{1}{3}\right) = \left(\frac{11}{3}\right) \cdot \left(\frac{4}{3}\right) = \frac{44}{9}$

Г)

1. $\frac{4}{7} \cdot 7 = 4$
2. $\frac{2}{7} \cdot \frac{21}{32} = \frac{2 \cdot 21}{7 \cdot 32} = \frac{42}{224} = \frac{21}{112} = \frac{3}{16}$