Question

1.tính hợp lí 

a) -4/15 *-3/8*15/-4*8

-2/3*4/19+5/3*4/19

-1/2*5/3+1/2*8/3

 

Answer 1

a) \(-\frac{4}{15}\cdot\left(-\frac{3}{8}\right)\cdot\left(\frac{15}{-4}\right)\cdot8\)

\(=\left(-\frac{4}{15}\cdot\left(\frac{15}{-4}\right)\right)\cdot\left(-\frac{3}{8}\cdot8\right)\)

\(=1\cdot\left(-3\right)=-3\)

b) \(-\frac{2}{3}\cdot\frac{4}{19}+\frac{5}{3}\cdot\frac{4}{19}\)

\(=\frac{4}{19}\cdot\left(\frac{5}{3}-\frac{2}{3}\right)\)

\(=\frac{4}{19}\cdot1=\frac{4}{19}\)

c) \(-\frac{1}{2}\cdot\frac{5 }{3}+\frac{1}{2}\cdot\frac{8}{3}\)

\(=\frac{1}{2}\left(\frac{8}{3}-\frac{5}{3}\right)\)

\(=\frac{1}{2}\cdot1=\frac{1}{2}\)