Rút gọn rồi quy đồng mẫu số các phân số \(\dfrac{2}{36}\) và \(\dfrac{8}{12}\)
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a. Mẫu số chung nhỏ nhất là 24
b. \(\dfrac{5}{7}\)
c. \(\dfrac{3}{4}\)
d. \(\dfrac{9}{12}\) và giữ nguyên phân số còn lại
e. \(\dfrac{3}{6};\dfrac{4}{6};\dfrac{5}{6}\)
g. \(\dfrac{9}{12};\dfrac{4}{12};\dfrac{2}{12}\)
h. \(\dfrac{15}{60};\dfrac{20}{60};\dfrac{12}{60}\)
i. \(\dfrac{10}{1}\)
\(\frac{3}{15}\)= \(\frac{3:3}{15:3}\) = \(\frac{1}{5}\)
\(\frac{33}{44}\)= \(\frac{33:11}{44:11}\)= \(\frac{3}{4}\)
\(\frac{2}{8}\)= \(\frac{2:2}{8:2}\)= \(\frac{1}{4}\)
\(\frac{1}{5}\)= \(\frac{1\times4}{5\times4}\)= \(\frac{4}{20}\)
\(\frac{3}{4}\)=\(\frac{3\times5}{4\times5}\)= \(\frac{15}{20}\)
\(\frac{1}{4}\)= \(\frac{1\times5}{4\times5}\)= \(\frac{5}{20}\)
\(\frac{9}{12}\)=\(\frac{9:3}{12:3}\) = \(\frac{3}{4}\)
\(\frac{24}{36}\)=\(\frac{24:12}{36:12}\)= \(\frac{2}{3}\)
\(\frac{3}{8}\)= \(\frac{3:1}{8:1}\)= \(\frac{3}{8}\)
\(\frac{3}{4}\)=\(\frac{3\times6}{4\times6}\)= \(\frac{18}{24}\)
\(\frac{2}{3}\)=\(\frac{2\times8}{3\times8}\)=\(\frac{16}{24}\)
\(\frac{3}{8}\)= \(\frac{3\times3}{8\times3}\)=\(\frac{9}{24}\)
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
a. \(\dfrac{1}{5}\) đã tối giản
\(\dfrac{4}{120}=\dfrac{1}{30}\)
\(\dfrac{-50}{60}=\dfrac{-5}{6}\)
Quy đồng: \(BCNN\left(5,30,6\right)=30\)
\(\Rightarrow\dfrac{1}{5}=\dfrac{1.6}{5.6}=\dfrac{6}{30};\dfrac{1}{30}=\dfrac{1.1}{30.1}=\dfrac{1}{30};\dfrac{-5}{6}=\dfrac{-5.5}{6.5}=\dfrac{-25}{30}\)
b. \(\dfrac{-25}{30}< \dfrac{1}{30}< \dfrac{6}{30}\)
a,\(\dfrac{4}{120}=\dfrac{1}{30};\dfrac{-50}{60}=\dfrac{-5}{6}\)
\(\dfrac{1}{5}=\dfrac{1.6}{5.6}=\dfrac{6}{30};\dfrac{1}{30};\dfrac{-5}{6}=\dfrac{-5.5}{6.5}=\dfrac{-25}{30}\)
b, Vì \(\dfrac{6}{30}>\dfrac{1}{30}>\dfrac{-25}{30}\) nên => \(\dfrac{4}{120}>\dfrac{1}{30}>\dfrac{-50}{60}\)
a: 27/-180=-27/180=-3/20=-21/140
-6/-35=6/35=24/120
-3/-28=3/28=15/140
b: \(\dfrac{3\cdot4+3\cdot7}{6\cdot5+9}=\dfrac{3\left(4+7\right)}{30+9}=\dfrac{11}{13}=\dfrac{2849}{13\cdot259}\)
\(\dfrac{6\cdot9-2\cdot17}{63\cdot6-119}=\dfrac{54-34}{259}=\dfrac{20}{259}=\dfrac{260}{259\cdot13}\)
em muốn nhanh thì lần sau em tách câu hỏi ra chứ đừng hỏi nhiều trong một câu em nhé
\(\dfrac{12}{48}\) = \(\dfrac{12:12}{48:12}=\) \(\dfrac{1}{2}\) \(\dfrac{49}{140}\) = \(\dfrac{49:7}{140:7}\) = \(\dfrac{7}{20}\)
\(\dfrac{125}{1000}\) = \(\dfrac{125:125}{1000:125}\) = \(\dfrac{1}{8}\) \(\dfrac{352}{253}\) = \(\dfrac{352:11}{253:11}\)= \(\dfrac{32}{23}\)
\(\dfrac{75}{300}=\) \(\dfrac{75:75}{300:75}\) = \(\dfrac{1}{4}\) \(\dfrac{561}{132}\) = \(\dfrac{561:33}{132:33}\) = \(\dfrac{17}{4}\)
a: \(\dfrac{5}{7}=\dfrac{5\cdot11}{7\cdot11}=\dfrac{55}{77}\)
\(\dfrac{9}{11}=\dfrac{9\cdot7}{11\cdot7}=\dfrac{63}{77}\)
b: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot9}{7\cdot9}=\dfrac{54}{63}\)
\(-\dfrac{12}{54}=\dfrac{-2}{9}=\dfrac{-2\cdot7}{9\cdot7}=-\dfrac{14}{63}\)
c: \(\dfrac{-11}{30}=\dfrac{-11\cdot4}{30\cdot4}=\dfrac{-44}{120}\)
\(\dfrac{-17}{-40}=\dfrac{17}{40}=\dfrac{17\cdot3}{40\cdot3}=\dfrac{51}{120}\)
d: \(\dfrac{36}{42}=\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\)
\(\dfrac{-12}{36}=\dfrac{-1}{3}=\dfrac{-1\cdot7}{3\cdot7}=\dfrac{-7}{21}\)
a) \(\dfrac{3}{4}=\dfrac{3\cdot5}{4\cdot5}=\dfrac{15}{20}\\ \dfrac{2}{5}=\dfrac{2\cdot4}{5\cdot4}=\dfrac{8}{20}\)
b) \(\dfrac{5}{12}=\dfrac{5\cdot3}{12\cdot3}=\dfrac{15}{36}\\ \dfrac{11}{36}=\dfrac{11}{36}\)
c) \(\dfrac{2}{3}=\dfrac{2\cdot4\cdot5}{3\cdot4\cdot5}=\dfrac{40}{60}\\ \dfrac{3}{4}=\dfrac{3\cdot3\cdot5}{4\cdot3\cdot5}=\dfrac{45}{60}\\ \dfrac{4}{5}=\dfrac{4\cdot3\cdot4}{5\cdot3\cdot4}=\dfrac{48}{60}\)
a) \(\dfrac{3}{4}\) và \(\dfrac{2}{5}\)
Mẫu số chung: 20
\(\dfrac{3}{4}=\dfrac{3.5}{4.5}=\dfrac{15}{20}\)
\(\dfrac{2}{5}=\dfrac{2.4}{5.4}=\dfrac{8}{20}\)
b) \(\dfrac{5}{12}\) và \(\dfrac{11}{36}\)
Mẫu số chung: 36
\(\dfrac{5}{12}=\dfrac{5.3}{12.3}=\dfrac{15}{36}\)
c) \(\dfrac{2}{3};\dfrac{3}{4}\) và \(\dfrac{4}{5}\)
Mẫu số chung: 60
\(\dfrac{2}{3}=\dfrac{2.20}{3.20}=\dfrac{40}{60}\\ \dfrac{3}{4}=\dfrac{3.15}{4.15}=\dfrac{45}{60}\\ \dfrac{4}{5}=\dfrac{4.12}{5.12}=\dfrac{48}{60}\)
Rút gọn:
\(\dfrac{2}{36}=\dfrac{2:2}{36:2}=\dfrac{1}{18}\)
\(\dfrac{8}{12}=\dfrac{8:4}{12:4}=\dfrac{2}{3}\)
Quy đồng mẫu số:
\(\dfrac{1}{18}=\dfrac{1}{18};\dfrac{2}{3}=\dfrac{2\cdot6}{3\cdot6}=\dfrac{12}{18}\)
Rút gọn:
\(\dfrac{2}{36}\) =\(\dfrac{2:2}{36:2}\)=\(\dfrac{1}{18}\)
\(\dfrac{8}{12}\)=\(\dfrac{8:4}{12:4}\)=\(\dfrac{2}{3}\)
Quy đồng mẫu :
Mẫu chung là 36
\(\dfrac{2}{36}\)=\(\dfrac{2\times1}{36\times1}\)=\(\dfrac{2}{36}\) và \(\dfrac{8}{12}\)=\(\dfrac{8\times3}{12\times3}\)=\(\dfrac{21}{36}\)