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a) \(\frac{2}{5}+\frac{9}{15}=\frac{2}{5}+\frac{3}{5}=\frac{5}{5}=1\)
b) \(\frac{15}{45}+\frac{25}{30}=\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{7}{6}\)
c) \(\frac{28}{32}+\frac{45}{72}=\frac{7}{8}+\frac{5}{8}=\frac{12}{8}=\frac{3}{2}\)
d) \(\frac{8}{28}+\frac{5}{30}=\frac{2}{7}+\frac{1}{6}=\frac{12}{42}+\frac{7}{42}=\frac{19}{42}\)
a) \(\frac{2}{5}+\frac{9}{15}\)=\(\frac{2}{5}+\frac{3}{5}=\frac{2+3}{5}=1\)
b)\(\frac{15}{45}+\frac{25}{30}=\frac{1}{3}+\frac{5}{6}=\frac{2}{6}+\frac{5}{6}=\frac{2+5}{6}=\frac{7}{6}\)
c)\(\frac{28}{32}+\frac{45}{72}=\frac{7}{8}+\frac{5}{8}=\frac{7+5}{8}=\frac{12}{8}=\frac{3}{2}\)
d)\(\frac{8}{28}+\frac{5}{30}=\frac{2}{7}+\frac{1}{6}=\frac{12}{42}+\frac{7}{42}=\frac{12+7}{42}=\frac{19}{42}\)
ta có: \(\frac{12}{27}=\frac{4}{9}\)
mà\(\frac{25}{45}=\frac{5}{9};\frac{20}{45}=\frac{4}{9};\frac{40}{42}=\frac{20}{21};\frac{32}{72}=\frac{4}{9};\frac{15}{27}=\frac{5}{9}\)
\(\Rightarrow\frac{12}{27}=\frac{20}{45}=\frac{32}{72}\left(=\frac{4}{9}\right)\)
CHÚC BN HỌC TỐT!
=(1+1+1+1+1+1+1+1)+(1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45)
Đặt A = 1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45
Ta có:
A x 1/2= 1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
1/6=1/2x3=1/2-1/3
1/12=1/3x4=1/3-1/4
……………………
1/90=1/9x10=1/9-1/10
A x 1/2=1/2-1/3+1/3-1/4+1/4-1/5+…+1/9-1/10
A x 1/2=1/2-1/10=4/10
A=4/10:1/2=4/5
Vậy 4/3+7/6+11/10+16/15+22/21+29/28+37/36+46/45=1+1+1+1+1+1+1+1+4/5=8+4/5=44/5
\(\frac{4}{3}+\frac{7}{6}+\frac{11}{10}+...+\frac{46}{45}\)
\(=1+\frac{1}{3}+1+\frac{1}{6}+1+\frac{1}{10}+...+1+\frac{1}{45}\)
\(=\left(1+1+1+...+1\right)+\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)(8 chữ số 1)
\(=8+\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)
Đặt A = \(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\)
=> \(\frac{1}{2}\)A = \(\frac{1}{2}\times\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+...+\frac{1}{45}\right)\)
= \(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(=\frac{1}{2}-\frac{1}{10}=\frac{2}{5}\)
Vậy A = \(\frac{2}{5}:\frac{1}{2}=\frac{4}{5}\)
Do đó biểu thức trên là 8 + \(\frac{4}{5}\) = \(\frac{44}{5}\)
Đáp số: \(\frac{44}{5}\)
Rút gọn:
\(\frac{18}{30}=\frac{18:6}{30:6}=\frac{3}{5}\)
\(\frac{36}{27}=\frac{36:9}{27:9}=\frac{4}{3}\)
\(\frac{64}{80}=\frac{64:16}{80:16}=\frac{4}{5}\)
\(\frac{45}{35}=\frac{45:5}{35:5}=\frac{9}{7}\)
\(\frac{45x16-17}{45x15-28}\)\(=\frac{703}{647}\)
Tích tớ nha
Rút gọn các phân số sau :
\(\frac{18}{30}=\frac{18\div6}{30\div6}=\frac{3}{5}\)
\(\frac{64}{80}=\frac{64\div16}{80\div16}=\frac{4}{5}\)
\(\frac{36}{27}=\frac{36\div9}{27\div9}=\frac{4}{3}\)
\(\frac{45}{35}=\frac{45\div5}{35\div5}=\frac{9}{7}\)
\(\frac{45}{27}\) > \(\frac{494949}{353535}\)
Vì rút gọn 2 p/s này ta đc : \(\frac{5}{3}\)và \(\frac{7}{5}\)
So sánh : \(\frac{5}{3}\)> \(\frac{7}{5}\)( quy đồng mẫu số )
Nên ...............................
\(\text{So sánh :}\)
\(\frac{45}{27}\text{ và }\frac{494949}{353535}\)
\(\text{Ta có :}\)
\(\frac{45}{27}=\frac{45\text{ : }9}{27\text{ : }9}=\frac{5}{3}\)
\(\frac{494949}{353535}=\frac{494949\text{ : }10101}{353535\text{ : }10101}=\frac{49}{35}=\frac{7}{5}\)
\(\Rightarrow\frac{5}{3}=\frac{5\cdot5}{3\cdot5}=\frac{25}{15}\)
\(\Rightarrow\frac{7}{5}=\frac{7\cdot3}{5\cdot3}=\frac{21}{15}\)
\(\text{Vì : }\frac{25}{15}>\frac{21}{15}\text{ nên }\frac{45}{27}>\frac{494949}{353535}\)
lấy (1/3 + 1/15 +1/10 + 1/21 ) + (1/36 + 1/28 + 1/6) + (1/45 + 1/55)
= (4/50 + 3/70) + 2/100
= 7/120 + 2/100
= 9/220
ket qua bang 3 nhe
17/45+23/45+28/45+1/27+26/27+22/45
=(17/45+23/45+28/45+22/45)+(1/27+26/27)
=2+1
=3