12/15 = 4/5                                                 15/10 = 3/2

14/21 = 2/3                                                 70/20 = 7/2

18/12 = 3/2                                                  55/66 = 5/6

( 4/5 - 2/3 - 3/2 ) : ( 3/2 - 7/2 - 5/6 ) = -41/30 : -17/6

                                                   = 41/85

Chỉ cần máy tính bạn ạ

55/66 - 14/21 = 5/6 - 2/3 = 5/6 - 4/6 = 1/6

15/25 + 10/20 = 3/5 + 1/2 = 6/10 + 5/10 = 11/10 

a; \(\dfrac{9}{27}\) + \(\dfrac{7}{-49}\)

= \(\dfrac{1}{3}\) - \(\dfrac{1}{7}\)

= \(\dfrac{7}{21}\) - \(\dfrac{3}{21}\)

= \(\dfrac{4}{21}\)

b; - \(\dfrac{12}{10}\) + \(\dfrac{-25}{30}\)

   =  - \(\dfrac{6}{5}\) - \(\dfrac{5}{6}\)

   = -\(\dfrac{36}{30}\) - \(\dfrac{25}{30}\)

  = \(\dfrac{-61}{30}\) 

c; \(\dfrac{-20}{35}\) + \(\dfrac{-16}{-24}\)

 =  - \(\dfrac{4}{7}\) + \(\dfrac{2}{3}\)

= - \(\dfrac{12}{21}\) + \(\dfrac{14}{21}\)

=  \(\dfrac{2}{21}\)

d; - \(\dfrac{21}{77}\) + \(\dfrac{10}{-35}\)

 = - \(\dfrac{3}{11}\) - \(\dfrac{2}{7}\)

 = - \(\dfrac{21}{77}\) -  \(\dfrac{22}{77}\)

= - \(\dfrac{43}{77}\)

`4/10-14/21`

`=2/5-2/3`

`=6/15-10/15`

`=-4/15`

= -56/210 = -4/15

a, \(\dfrac{18}{24}\) = \(\dfrac{3}{4}\)                            \(\dfrac{15}{25}\) = \(\dfrac{3}{5}\) 

     \(\dfrac{3}{4}\)  >  \(\dfrac{3}{5}\) vậy \(\dfrac{18}{24}\) > \(\dfrac{15}{25}\)

b, \(\dfrac{21}{15}\) = \(\dfrac{7}{5}\)                            \(\dfrac{28}{24}\) = \(\dfrac{7}{6}\)

      \(\dfrac{7}{5}\)  >  \(\dfrac{7}{6}\) vậy \(\dfrac{21}{15}\)  >  \(\dfrac{28}{24}\) 

ᵃ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{18}{24}=\dfrac{3}{4}\) ;

 ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{15}{25}=\dfrac{3}{5}\)

Vì \(\dfrac{3}{4}>\dfrac{3}{5}\\ \Rightarrow\dfrac{18}{24}>\dfrac{15}{25}\)

ᵇ, ᵗᵃ ʳᵘ́ᵗ ᵍᵒ̣ⁿ :\(\dfrac{21}{15}=\dfrac{7}{5}\\ \dfrac{28}{24}=\dfrac{7}{6}\)

Vì \(\dfrac{7}{5}>\dfrac{7}{6}\\ \Rightarrow\dfrac{21}{15}>\dfrac{28}{24}\)

\(\frac{15}{25}+\frac{6}{21}=\frac{3}{5}+\frac{2}{7}=\frac{21}{35}+\frac{10}{35}=\frac{31}{35}\)

             HT 

TL

= \(\frac{31}{35}\)

nhaaaaa

nhớ tíc cho mk

\(\frac{15}{25}+\frac{6}{21}=\frac{3}{5}+\frac{2}{7}=\frac{21}{35}+\frac{10}{35}=\frac{31}{35}·\)

HT

ad em giải nhanh nhất 

Bài làm

\(C=\frac{2.5^{22}-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)

\(C=\frac{2.5^{21}.5-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{14}.7-19.7^{14}\right)}{7^{16}.7+3.7^{15}}\)

\(C=\frac{5^{21}.\left(2-9\right).5}{\left(5.5\right)^{10}}:\frac{5.[7^{15}.\left(3-19\right)].7}{7^{15}.\left(3+1\right).7}\)

\(C=\frac{5^{21}.\left(-7\right).5}{5^{10}.5^{10}}:\frac{5.7^{15}.\left(-16\right).7}{7^{15}.4.7}\)

\(C=\frac{5^{21}.\left(-35\right)}{5^{10}.5^{10}}:\frac{7^{15}.\left(-112\right).5}{7^{15}.28}\)

\(C=5.\left(-35\right):\frac{7^{15}.560}{7^{15}.28}\)

\(C=5.\left(-35\right):\frac{1.560}{1.28}\)

\(C=5.\left(-35\right):20\)

\(C=5.\left(-35\right).\frac{1}{20}\)

\(C=-\frac{175}{20}\)

\(C=-\frac{35}{4}\)

Vậy biểu thức trên \(C=\frac{2.5^{22}-9.5^{21}}{25^{10}}:\frac{5.\left(3.7^{15}-19.7^{14}\right)}{7^{16}+3.7^{15}}\)bằng \(C=-\frac{35}{4}\)

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