Question

1) a3b/c * c2/a4 2) m2n2/k * k3/m3n3 3) 6a/5b*15c/2d 4) 4m/9n*27k/16d 5) 2a/3b*3c 6) 14a2 *b2/7c3 пж срочно ​

Answer 1

1) $\frac{ {a}^{3} b}{c} \times \frac{ {c}^{2} }{ {a}^{4} } = \frac{ {a}^{3} b {c}^{2} }{ {a}^{4}c } = \frac{bc}{a}$

2) $\frac{ {m}^{2} {n}^{2} }{k} \times \frac{ {k}^{3} }{ {m}^{3} {n}^{3} } = \frac{ {m}^{2} {n}^{2} {k}^{3} }{ {m}^{3} {n}^{3}k } = \frac{ {k}^{2} }{mn}$

3) $\frac{6a}{5b} \times \frac{15c}{2d} = \frac{6a \times 15c}{5b \times 2d} = \frac{2 \times 3 \times a \times 5 \times 3 \times c}{5 \times b \times 2 \times d} = \frac{3 \times a \times 3 \times c}{b \times d} = \frac{9ac}{bd}$

или можно представить так:

$\frac{9ac}{bd} = 9 \times \frac{ac}{bd}$

4) $\frac{4m}{9n} \times \frac{27k}{16d} = \frac{4 m \times 27k}{9n \times 16d} = \frac{4 \times m \times 3 \times 9 \times k}{9 \times n \times 4 \times 4 \times d} = \frac{m \times 3 \times k}{n \times 4 \times d} = \frac{3km}{4dn}$

или можно представить так:

$\frac{3km}{4dn} = \frac{3}{4} \times \frac{km}{dn}$

5) $\frac{2a}{3b} \times 3c = \frac{2a \times 3c}{3b} = \frac{2 \times a \times 3 \times c}{3 \times b} = \frac{2ac}{b}$

или можно представить так:

$\frac{2ac}{b} = 2 \times \frac{ac}{b}$

6) $14 {a}^{2} \times \frac{ {b}^{2} }{7 {c}^{3} } = \frac{14 {a}^{2} \times {b}^{2} }{7 {c}^{3} } = \frac{2 \times 7 \times {a}^{2} \times {b}^{2} }{7 \times {c}^{3} } = \frac{2 {a}^{2} {b}^{2} }{ {c}^{3} }$

или можно представить так:

$\frac{2 {a}^{2} {b}^{2} }{ {c}^{3} } = 2 \times \frac{ {a}^{2} {b}^{2} }{ {c}^{3} }$