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\(\frac{3}{15}\)= \(\frac{3:3}{15:3}\) = \(\frac{1}{5}\)
\(\frac{33}{44}\)= \(\frac{33:11}{44:11}\)= \(\frac{3}{4}\)
\(\frac{2}{8}\)= \(\frac{2:2}{8:2}\)= \(\frac{1}{4}\)
\(\frac{1}{5}\)= \(\frac{1\times4}{5\times4}\)= \(\frac{4}{20}\)
\(\frac{3}{4}\)=\(\frac{3\times5}{4\times5}\)= \(\frac{15}{20}\)
\(\frac{1}{4}\)= \(\frac{1\times5}{4\times5}\)= \(\frac{5}{20}\)
\(\frac{9}{12}\)=\(\frac{9:3}{12:3}\) = \(\frac{3}{4}\)
\(\frac{24}{36}\)=\(\frac{24:12}{36:12}\)= \(\frac{2}{3}\)
\(\frac{3}{8}\)= \(\frac{3:1}{8:1}\)= \(\frac{3}{8}\)
\(\frac{3}{4}\)=\(\frac{3\times6}{4\times6}\)= \(\frac{18}{24}\)
\(\frac{2}{3}\)=\(\frac{2\times8}{3\times8}\)=\(\frac{16}{24}\)
\(\frac{3}{8}\)= \(\frac{3\times3}{8\times3}\)=\(\frac{9}{24}\)
3/15= 1/5; 33/44=3/4; 2/8= 1/4
1/5= 1x 4/ 5x4= 4/20; 3/4= 3x 5/ 4x 5= 15/20; 1/4= 1x 5/ 4x 5= 5/20
9/12= 3/4; 24/36= 2/3; 3/8 không rút gọn được
3/4= 3x 6/ 4x6= 18/24; 2/3= 2x 8/ 3x 8= 16/24; 3/8= 3x 3/ 8x 3= 9/24
Bài 10:
A. Ta có:
\(\dfrac{99}{100}< 1\) ; \(\dfrac{9}{8}>1\)
Nên \(\dfrac{99}{100}< \dfrac{9}{8}\)
B. \(\dfrac{7}{12}< \dfrac{7}{8}\)
a)Có:\(\dfrac{5}{7}>\dfrac{2}{7};\dfrac{2}{7}>\dfrac{2}{8}\)
\(\Rightarrow\dfrac{5}{7}>\dfrac{2}{8}\)
b)Có:\(\dfrac{4}{8}>\dfrac{3}{8};\dfrac{3}{8}>\dfrac{3}{9}\)
\(\Rightarrow\dfrac{4}{8}>\dfrac{3}{9}\)
c)Có:\(\dfrac{2}{9}< \dfrac{2}{8};\dfrac{2}{8}< \dfrac{3}{8}\)
\(\Rightarrow\dfrac{2}{9}< \dfrac{3}{8}\)
Ta thấy : \(\dfrac{5}{6}\) và \(\dfrac{13}{8}\) có MSCNN là 24
mà \(24\div6=4\) ; \(24\div8=3\)
=> \(\dfrac{5}{6}=\dfrac{5\times4}{6\times4}=\dfrac{20}{24}\) ; \(\dfrac{13}{8}=\dfrac{13\times3}{8\times3}=\dfrac{39}{24}\)
\(\frac{2}{9}\)Và \(\frac{1}{6}\)
\(\frac{2}{9}=\frac{2\times2}{9\times2}=\frac{4}{18}\)
\(\frac{1}{6}=\frac{1\times3}{6\times3}=\frac{3}{18}\)
\(\frac{7}{6}\)Và \(\frac{3}{8}\)
\(\frac{7}{6}=\frac{7\times4}{6\times4}=\frac{28}{24}\)
\(\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}\)
\(\frac{1}{12}\)Và \(\frac{1}{9}\)
\(\frac{1}{12}=\frac{1\times3}{12\times3}=\frac{3}{36}\)
\(\frac{1}{9}=\frac{1\times4}{9\times4}=\frac{4}{36}\)
\(\frac{2}{5}=\frac{2X7}{5X7}=\frac{14}{35}\)
\(\frac{3}{7}=\frac{3X5}{7X5}=\frac{15}{35}\)
ĐÁP SỐ : \(\frac{14}{35};\frac{15}{35}\)
Ta có:
\(\frac{3}{8}=\frac{3.3}{8.3}=\frac{9}{24}\)
\(\frac{7}{12}=\frac{7.2}{12.2}=\frac{14}{24}\)
\(\frac{3}{8}\)\(=\frac{3.3}{8.3}=\frac{9}{24}\)
\(\frac{7}{12}=\frac{7.2}{12.2}=\frac{14}{24}\)