Bài 1. Rút gọn các phân số:
28/14 ; 36/28 ; 88/77 ; 45/50 ; 120/150
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\(\dfrac{14}{28}=\dfrac{14:14}{28:14}=\dfrac{1}{2}\)
\(\dfrac{33}{99}=\dfrac{33:33}{99:33}=\dfrac{1}{3}\)
\(\dfrac{12}{80}=\dfrac{12:4}{80:4}=\dfrac{3}{20}\)
\(\dfrac{50}{150}=\dfrac{50:50}{150:50}=\dfrac{1}{3}\)
\(\dfrac{45}{9}=\dfrac{45:9}{9:9}=5\)
\(\dfrac{81}{72}=\dfrac{81:9}{72:9}=\dfrac{9}{8}\)
\(\dfrac{34}{68}=\dfrac{34:34}{68:34}=\dfrac{1}{2}\)
\(\dfrac{14}{28}=\dfrac{1}{2};\dfrac{33}{99}=\dfrac{11}{33};\dfrac{12}{80}=\dfrac{3}{20};\dfrac{50}{150}=\dfrac{1}{3};\dfrac{45}{9}=5;\dfrac{81}{72}=\dfrac{9}{8};\dfrac{34}{68}=\dfrac{1}{2}\)
1) Các phân số tối giản là: \(\frac{1}{5};\frac{5}{7};\frac{-2}{9}\)
2) a) \(\frac{28}{36}=\frac{28:4}{36:4}=\frac{7}{9}\)
b) \(\frac{-63}{90}=\frac{-63:9}{90:9}=\frac{-7}{10}\)
c) \(\frac{40}{-120}=\frac{40:40}{-120:40}=\frac{-1}{3}\)
3) a) \(\frac{2.4}{6.18}=\frac{2.2.2}{2.3.3.2.3}=\frac{2}{27}\)
b) \(\frac{3.5.7}{6.9.14}=\frac{3.5.7}{2.3.9.2.7}=\frac{5}{36}\)
c) \(\frac{4.7-4.5}{64}=\frac{4.\left(7-5\right)}{64}=\frac{4.2}{64}=\frac{8}{64}=\frac{1}{8}\)
4) Muốn rút gọn một phân số chưa tối giản, ta tìm ƯCLN của cả hai số ở tử và mẫu, rồi cùng đem cả tử và mẫu chia cho số chung vừa tìm được.
11/12=1/2 , 36/10=18/5 , 75/36 = 25/12 , 14/28 = 1/2 , 48/30 = 8/5
\(\Leftrightarrow\dfrac{1}{2};\dfrac{1}{2};\dfrac{8}{5};\dfrac{3}{2}\)
c ) − 5 15 = ( − 5 ) : 5 15 : 5 = − 1 2 d ) − 12 − 24 = ( − 12 ) : ( − 12 ) ( − 24 ) : ( − 12 ) = 1 2
e ) 54 270 = 54 : 54 270 : 54 = 1 5 f ) − 12 − 28 = ( − 12 ) : ( − 4 ) ( − 28 ) : ( − 4 ) = 3 7
g ) − 18 − 27 = ( − 18 ) : ( − 9 ) ( − 27 ) : ( − 9 ) = 2 3 h ) 45 − 24 = 45 : ( − 3 ) ( − 24 ) : ( − 3 ) = − 15 8
\(\dfrac{10}{85}=\dfrac{2}{17};\dfrac{44}{88}=\dfrac{11}{22};\dfrac{77}{49}=\dfrac{11}{7}\)
\(\dfrac{10}{85}=\dfrac{2}{17};\dfrac{44}{88}=\dfrac{1}{2};\dfrac{77}{49}=\dfrac{11}{7}\)
\(a) \frac{1}{4};\frac{3}{7};\frac{101}{131}\)
\(15\div\frac{15}{45}\div15=\frac{1}{3}\)
\(\frac{72}{90}=72\div\frac{18}{90}\div18=\frac{4}{5}\)
\(50\div\frac{10}{120}\div10=\frac{5}{12}\)
1000000000000% đúng nha
\(\dfrac{14}{21}=\dfrac{7\cdot2}{7\cdot3}=\dfrac{2}{3}\)
\(\dfrac{-36}{48}=\dfrac{-12\cdot3}{12\cdot4}=-\dfrac{3}{4}\)
\(\dfrac{28}{-52}=\dfrac{7\cdot4}{-4\cdot13}=-\dfrac{7}{13}\)
\(\dfrac{-54}{-90}=\dfrac{-18\cdot3}{-18\cdot5}=\dfrac{3}{5}\)
\(\dfrac{14}{21}\) =\(\dfrac{2}{3}\)
\(\dfrac{-36}{48}\) =\(\dfrac{3}{4}\)
\(\dfrac{28}{-52}\)=\(\dfrac{7}{-13}\)
\(\dfrac{-54}{-90}\) =\(\dfrac{6}{9}=\dfrac{2}{3}\)
45/27=5/3
25/50=1/2
12/21=4/7
24/56=3/7
22/121=2/11
196/28=7
26/169=2/13
221/187=13/11
28/14=2
36/28=9/7
88/77=8/7
45/50=9/10
120/150=4/5
\(\dfrac{28}{14}=2\)
\(\dfrac{36}{28}=\dfrac{36:4}{28:4}=\dfrac{9}{7}\)
\(\dfrac{88}{77}=\dfrac{88:11}{77:11}=\dfrac{8}{7}\)
\(\dfrac{45}{50}=\dfrac{45:5}{50:5}=\dfrac{9}{10}\)
\(\dfrac{120}{150}=\dfrac{120:30}{150:30}=\dfrac{4}{5}\)