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a)\(\frac{2}{9}+\frac{5}{12}+\frac{3}{4}=\frac{8}{36}+\frac{15}{36}+\frac{27}{36}=\frac{50}{36}\)
b)\(\frac{3}{5}+\frac{7}{10}+\frac{13}{20}=\frac{12}{20}+\frac{14}{20}+\frac{13}{20}=\frac{39}{30}=\frac{13}{10}\)
c)\(\frac{3}{4}-\frac{1}{3}-\frac{5}{18}=\frac{27}{36}-\frac{12}{36}-\frac{10}{36}=\frac{5}{36}\)
d)\(\frac{3}{14}+\frac{5}{8}-\frac{1}{2}=\frac{12}{56}+\frac{35}{56}-\frac{28}{56}=\frac{19}{56}\)
e)\(\frac{1}{2}-\frac{1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{6}{12}-\frac{4}{12}+\frac{3}{12}+\frac{2}{12}=\frac{7}{12}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 2/9 +1/5 +7/9+4/5
=( 2/9+7/9)+(1/5+4/5)
=1+1=2
b) 1/12+3/16+5/12+5/16
=(1/12 +5/12)+(3/16+5/16)
=1/2 +1/2=1
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{12}{35}:\frac{35}{25}=\frac{12}{35}.\frac{25}{35}=\frac{12.25}{35.35}=\frac{12.5.5}{7.5.7.5}=\frac{12}{49}\)
\(\frac{9}{22}.\frac{33}{18}=\frac{9.33}{22.18}=\frac{9.3.11}{11.2.9.2}=\frac{3}{4}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{10}{18}+\frac{4}{9}+\frac{26}{10}+\frac{12}{5}+\frac{9}{15}\)
\(=\frac{5}{9}+\frac{4}{9}+\frac{13}{5}+\frac{12}{5}+\frac{3}{5}\)
\(=\left(\frac{5}{9}+\frac{4}{9}\right)+\left(\frac{13}{5}+\frac{12}{5}+\frac{3}{5}\right)\)
\(=1+\frac{28}{5}\)
\(=\frac{33}{5}\)
Ta có:
a) \(\frac{10}{18}+\frac{4}{9}+\frac{26}{10}+\frac{12}{5}+\frac{9}{15}=\frac{5}{9}+\frac{4}{9}+\frac{13}{5}+\frac{12}{5}+\frac{9}{15}=1+1+\frac{9}{15}=1\frac{9}{15}\)
b)\(\frac{10}{18}+\frac{4}{9}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}+\frac{1}{128}=\left(\frac{5}{9}+\frac{4}{9}\right)+\left(\frac{16}{128}+\frac{8}{128}+\frac{4}{128}+\frac{2}{128}+\frac{1}{128}\right)\)
\(=1+\frac{31}{128}=1\frac{31}{128}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{9}{16}:\frac{27}{8}=\frac{3^2:3^3}{2^4:2^3}=\frac{\frac{1}{3}}{2}=\frac{1}{6}\)
b tương tự nha
\(\frac{9}{16}:\frac{27}{8}=\frac{9}{16}\cdot\frac{8}{21}=\frac{3\cdot3\cdot4\cdot2}{8\cdot2\cdot7\cdot3}=\frac{14}{3}\)
\(\frac{40}{7}:\frac{5}{14}=\frac{40}{7}\cdot\frac{14}{5}=\frac{4\cdot5\cdot2\cdot7\cdot2}{7\cdot5}=\frac{16}{1}=16\)
Chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{4}{5}\)và \(\frac{7}{9}\)
\(MSC:\)\(45\)
\(\frac{4}{5}\)\(=\)\(\frac{36}{45}\)
\(\frac{7}{9}\)\(=\)\(\frac{35}{45}\)
\(\frac{4}{5}\)và \(\frac{7}{9}\), MSC : 45
\(\frac{4}{5}\)= \(\frac{4x9}{5x9}\)= \(\frac{36}{45}\)
\(\frac{7}{9}\)= \(\frac{7x5}{9x5}\)= \(\frac{35}{45}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a ) \(1\frac{1}{2}+2\frac{1}{3}+3\frac{1}{6}-5\)
\(=\frac{3}{2}+\frac{7}{3}+\frac{19}{6}-\frac{5}{1}\)
\(=\frac{9}{6}+\frac{14}{6}+\frac{19}{6}-\frac{30}{6}\)
\(=\frac{23}{6}+\frac{19}{6}-\frac{30}{6}\)
\(=\frac{42}{6}-\frac{30}{6}\)
\(=\frac{12}{6}=2\)
b ) \(2\frac{2}{3}\times3\frac{3}{4}\div4\frac{4}{5}\)
\(=\frac{8}{3}\times\frac{15}{4}\div\frac{24}{5}\)
\(=\frac{120}{12}\div\frac{24}{5}\)
\(=\frac{120}{12}\times\frac{5}{24}\)
\(=\frac{600}{288}=\frac{25}{12}\)
c ) \(4\frac{1}{5}+5\frac{1}{3}-2\frac{2}{3}\times3\frac{1}{5}+\frac{9}{25}\div\frac{9}{20}\)
\(=\frac{21}{5}+\frac{16}{3}-\frac{8}{3}\times\frac{16}{5}+\frac{9}{25}\div\frac{9}{20}\)
\(=\frac{63}{15}+\frac{80}{15}-\frac{128}{15}+\frac{9}{25}\times\frac{20}{9}\)
\(=\frac{143}{15}-\frac{128}{15}+\frac{180}{225}\)
\(=\frac{15}{15}+\frac{12}{15}\)
\(=\frac{27}{15}=\frac{9}{5}\)
2/9 = 2x4/9x4 = 8/36.
5/12 = 5x3/12x3 = 15/36.
3/4 = 3x9/4x9 = 27/36.
Mẫu số chung là 36.
Mẫu chung sẽ là số nhỏ nhất khác 0 chia hết cho cả 9 ; 12 ; 4.
Phân tích:
9 = 3 x 3 ( có 2 số 3)
12 = 2 x 2 x 3 ( có 2 số 2; 1 số 3)
4 = 2 x 2 ( có 2 số 2 )
Mẫu chung là tích của các thừa số của cả 3 số 9 ; 12 ;4 nhưng các số ấy lặp lại số lần nhiều nhất trong 1 số:
= 3 x 3 x 2 x 2 = 36