Bài 1: Rút gọn các phân số
14/28 , 33/99 , 12/80 , 50/150 , 45/9 , 81/72 , 34/68 ,
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\(a,\dfrac{52}{32}=\dfrac{13}{8}\\ \dfrac{55}{65}=\dfrac{11}{13}\\ MSC:104\\ =>\dfrac{13}{8}=\dfrac{13.13}{8.13}=\dfrac{169}{104}\\ \dfrac{11}{13}=\dfrac{11.8}{13.8}=\dfrac{88}{104}\)
\(b,\dfrac{72}{64}=\dfrac{9}{8}\\ \dfrac{54}{81}=\dfrac{2}{3}\\ MSC:24\\ \dfrac{9}{8}=\dfrac{9.3}{8.3}=\dfrac{27}{24}\\ \dfrac{2}{3}=\dfrac{2.8}{3.8}=\dfrac{16}{24}\\ c,\dfrac{24}{36}=\dfrac{2}{3}\\ \dfrac{12}{30}=\dfrac{2}{5}\\ MSC:15\\ \dfrac{2}{3}=\dfrac{2.5}{3.5}=\dfrac{10}{15}\\ \dfrac{2}{5}=\dfrac{2.3}{3.5}=\dfrac{6}{15}\)
\(d,\dfrac{80}{40}=2\\ \dfrac{45}{63}=\dfrac{5}{7}\\ MSC:7\\ 2=\dfrac{14}{7}\\ e,\dfrac{150}{50}=3\\ \dfrac{100}{200}=\dfrac{1}{2}\\ MSC:2\\ 3=\dfrac{6}{2}\\ f,\dfrac{54}{81}=\dfrac{2}{3}\\ \dfrac{69}{93}=\dfrac{23}{21}\\ MSC:21\\ \dfrac{2}{3}=\dfrac{2.7}{3.7}=\dfrac{14}{21}\)
\(a.\dfrac{52}{32}\text{=}\dfrac{13}{8};\dfrac{55}{65}\text{=}\dfrac{11}{13}\)
\(\dfrac{13.13}{13.8}\text{=}\dfrac{169}{104};\dfrac{11.8}{13.8}\text{=}\dfrac{88}{104}\)
\(c.\dfrac{24}{36}\text{=}\dfrac{2}{3};\dfrac{12}{30}\text{=}\dfrac{2}{5}\)
\(\dfrac{2.5}{3.5}\text{=}\dfrac{10}{15};\dfrac{2.3}{5.3}\text{=}\dfrac{6}{15}\)
\(b.\dfrac{72}{64}\text{=}\dfrac{9.3}{8.3}\text{=}\dfrac{27}{24};\dfrac{54}{81}\text{=}\dfrac{2.8}{3.8}\text{=}\dfrac{16}{24}\)
\(d.\dfrac{80}{40}\text{=}\dfrac{2.63}{63}\text{=}\dfrac{126}{63};\dfrac{45}{63}\)
\(e.\dfrac{150}{50}\text{=}\dfrac{3.2}{2}\text{=}\dfrac{6}{2};\dfrac{100}{200}\text{=}\dfrac{1}{2}\)
\(f.\dfrac{54}{81}\text{=}\dfrac{2.31}{3.31}\text{=}\dfrac{62}{93};\dfrac{69}{93}\)
34 < 50 47 > 45 55 < 66
78 > 69 81< 82 44 > 33
72 < 81 95 > 90 77 < 99
62 = 62 61 < 63 88 > 22
Rút gọn các phân số sau 12/30
20/45. 28/70. 34/51
BL:
12/30=6/15
20/45=4/9
28/70=2/5
34/51=2/3
a. \(\frac{34}{50}=\frac{2\times17}{2\times25}=\frac{17}{25}\); \(\frac{48}{68}=\frac{4\times12}{4\times17}=\frac{12}{17}\); \(\frac{1313}{2323}=\frac{101\times13}{101\times23}=\frac{13}{23}\); \(\frac{515151}{636363}=\frac{10101\times51}{10101\times63}=\frac{51}{63}\)
b. +) \(\frac{3}{15}=\frac{3}{3\times5}=\frac{1}{5}\); \(\frac{33}{44}=\frac{3\times11}{4\times11}=\frac{3}{4}\); \(\frac{2}{8}=\frac{2}{2\times4}=\frac{1}{4}\)
Mẫu chung: 20
\(\frac{1}{5}=\frac{1\times4}{5\times4}=\frac{4}{20}\); \(\frac{3}{4}=\frac{3\times5}{4\times5}=\frac{15}{20}\); \(\frac{1}{4}=\frac{1\times5}{4\times5}=\frac{5}{20}\)
+) \(\frac{9}{12}=\frac{3\times3}{4\times3}=\frac{3}{4}\); \(\frac{24}{36}=\frac{12\times2}{12\times3}=\frac{2}{3}\); \(\frac{3}{8}=\frac{3}{8}\)
Mẫu chung : 24
\(\frac{3}{4}=\frac{3\times6}{4\times6}=\frac{18}{24}\); \(\frac{2}{3}=\frac{2\times8}{3\times8}=\frac{16}{24}\); \(\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}\).
Rút gọn các phân số sau về phân số tối giản:
12/30 ................\(=\dfrac{12:6}{30:6}=\dfrac{2}{5}\)...........................................
20/45 ....................\(=\dfrac{20:5}{45:5}=\dfrac{4}{9}\)......................................
28/70.....................\(=\dfrac{28:14}{70:14}=\dfrac{2}{5}\).......................................
Rút gọn các phân số sau về phân số tối giản:
12/30 ..= 6/15........................................................
20/45 ..=4/9........................................................
28/70..=14/5..........................................................
34/51..=2/3..........................................................
215/300..=43/20.....................................................
1200/2010..=120/201.................................................
\(a) \frac{1}{4};\frac{3}{7};\frac{101}{131}\)
\(15\div\frac{15}{45}\div15=\frac{1}{3}\)
\(\frac{72}{90}=72\div\frac{18}{90}\div18=\frac{4}{5}\)
\(50\div\frac{10}{120}\div10=\frac{5}{12}\)
1000000000000% đúng nha
\(\dfrac{14}{28}=\dfrac{14:14}{28:14}=\dfrac{1}{2}\)
\(\dfrac{33}{99}=\dfrac{33:33}{99:33}=\dfrac{1}{3}\)
\(\dfrac{12}{80}=\dfrac{12:4}{80:4}=\dfrac{3}{20}\)
\(\dfrac{50}{150}=\dfrac{50:50}{150:50}=\dfrac{1}{3}\)
\(\dfrac{45}{9}=\dfrac{45:9}{9:9}=5\)
\(\dfrac{81}{72}=\dfrac{81:9}{72:9}=\dfrac{9}{8}\)
\(\dfrac{34}{68}=\dfrac{34:34}{68:34}=\dfrac{1}{2}\)
\(\dfrac{14}{28}=\dfrac{1}{2};\dfrac{33}{99}=\dfrac{11}{33};\dfrac{12}{80}=\dfrac{3}{20};\dfrac{50}{150}=\dfrac{1}{3};\dfrac{45}{9}=5;\dfrac{81}{72}=\dfrac{9}{8};\dfrac{34}{68}=\dfrac{1}{2}\)