tất cả các tỉ số bạn nêu đều bằng 2/3

\(\dfrac{12+24+72}{18+36+108}=\dfrac{108}{162}=\dfrac{2}{3}=\dfrac{12}{18}=\dfrac{36}{54}\)

\(\dfrac{12-24+72}{18-36+108}=\dfrac{60}{90}=\dfrac{2}{3}=\dfrac{12}{18}=\dfrac{36}{54}\)

\(\dfrac{12}{18}=\dfrac{24}{36}=\dfrac{72}{108}=\dfrac{12+24+72}{18+36+108}=\dfrac{12-24+72}{18-36+108}\)

12/18=2/3

36/54=2/3

Do đó: 12/18=36/54

\(\begin{array}{l}12:30 = \dfrac{{12}}{{30}} = \dfrac{2}{5};\\\dfrac{3}{7}:\dfrac{{18}}{{24}} = \dfrac{3}{7}.\dfrac{{24}}{{18}} = \dfrac{3}{7}.\dfrac{{4}}{{3}} = \dfrac{4}{{7}};\\2,5:6,25 = \dfrac{{2,5}}{{6,25}} = \dfrac{{250}}{{625}} = \dfrac{2}{5}\end{array}\)

Như vậy, các tỉ số bằng nhau là: 12:30 và 2,5 : 6,25.

Ta được tỉ lệ thức: 12:30 = 2,5 : 6,25

a: \(\frac{60}{72}=\frac{60:12}{72:12}=\frac56\)

\(\frac{24}{36}=\frac{24:12}{36:12}=\frac23=\frac{2\times2}{3\times2}=\frac46\)

mà 5>4

nên \(\frac{60}{72}>\frac{24}{36}\)

b: \(\frac{-13}{18}=\frac{-13\times2}{18\times2}=\frac{-26}{36}\)

\(\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}\)

mà -26<-21

nên \(-\frac{13}{18}<-\frac{7}{12}\)

c: \(\frac{4}{15}=\frac{4\times6}{15\times6}=\frac{24}{90}\)

\(\frac{7}{18}=\frac{7\times5}{18\times5}=\frac{35}{90}\)

mà 24<35

nên \(\frac{4}{15}<\frac{7}{18}\)

d: \(\frac{123}{321}>0;0>-\frac{312}{213}\)

Do đó: \(\frac{123}{321}>-\frac{312}{213}\)

a: \(\frac{60}{72}=\frac{60:12}{72:12}=\frac56\)

\(\frac{24}{36}=\frac{24:12}{36:12}=\frac23=\frac{2\times2}{3\times2}=\frac46\)

mà 5>4

nên \(\frac{60}{72}>\frac{24}{36}\)

b: \(\frac{-13}{18}=\frac{-13\times2}{18\times2}=\frac{-26}{36}\)

\(\frac{-7}{12}=\frac{-7\times3}{12\times3}=\frac{-21}{36}\)

mà -26<-21

nên \(-\frac{13}{18}<-\frac{7}{12}\)

c: \(\frac{4}{15}=\frac{4\times6}{15\times6}=\frac{24}{90}\)

\(\frac{7}{18}=\frac{7\times5}{18\times5}=\frac{35}{90}\)

mà 24<35

nên \(\frac{4}{15}<\frac{7}{18}\)

d: \(\frac{123}{321}>0;0>-\frac{312}{213}\)

Do đó: \(\frac{123}{321}>-\frac{312}{213}\)