RÚT GỌN VỀ PHÂN SỐ TỐI GIẢN

câu a) \(\dfrac{-147}{252}=\dfrac{-7}{12}\)

câu b) \(\dfrac{765}{900}=\dfrac{17}{20}\)

câu c) \(\dfrac{11\cdot3-11\cdot8}{17-6}=\dfrac{-5}{1}\)

câu d) \(\dfrac{3^5\times2^4}{8\times3^6}=\dfrac{2}{3}\)

câu e) \(\dfrac{84\cdot45}{49\cdot54}=\dfrac{10}{7}\)

a) \(\frac{3^2.2^4}{8.3^2}=\frac{3^2.2^4}{2^3.3^2}=2\)

b)\(\frac{84.45}{49.54}=\frac{2^2.7.3^3.5}{7^2.2.3^3}=\frac{10}{7}\)

c) \(\frac{36.10.21}{2^3.63.35}=\frac{2^3.3^3.5.7}{2^3.3^2.5.7^2}=\frac{3}{7}\)

d) \(\frac{16.29-32}{16.37+32}=\frac{16.29-16.2}{16.37+2.16}=\frac{16.\left(29-2\right)}{16.\left(37+2\right)}=\frac{27}{39}=\frac{9}{13}\)

3².2⁴

= 3².2².2²

= 6².2²

= 12²

tomoyka dau

Câu 1: 2.10/5.6=2.5.2/5.2.3=1/3

Câu 2: 3⁵.2⁴/8.36=3⁵.2⁴/2³.2².3²=3⁵.2⁴/2⁵.3²=3³/2=27/2

Chúc bạn học tốt!!

k mình nha!!

~ So sad :( !! ~

\(A=\frac{31}{60}\)

I thinks so ! Sad

\(\dfrac{3.17.11}{22.9}=\dfrac{17}{6}\)

\(\dfrac{84.45}{49.54}=\dfrac{10}{7}\)

\(\dfrac{4.7.22}{33.14}=\dfrac{4}{3}\)    

\(\dfrac{3\cdot7\cdot11}{22\cdot9}=\dfrac{1\cdot7\cdot1}{2\cdot3}=\dfrac{7}{6}\\ \dfrac{84\cdot45}{49\cdot54}=\dfrac{12\cdot5}{7\cdot6}=\dfrac{10}{7}\\ \dfrac{4\cdot7\cdot22}{33\cdot14}=\dfrac{4\cdot1\cdot2}{3\cdot2}=\dfrac{4}{3}\)

\(A=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}....\frac{899}{900}\)

\(=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}....\frac{29.31}{30.30}\)

\(=\frac{1.2.3....29}{2.3.4....30}.\frac{3.4.5....31}{2.3.4....30}\)

\(=\frac{1}{30}.\frac{31}{2}=\frac{31}{60}\)

\(A=\frac{1\cdot3}{2\cdot2}\cdot\frac{2\cdot4}{3\cdot3}\cdot...\cdot\frac{29\cdot31}{30\cdot30}\)

\(A=\frac{1\cdot2\cdot...\cdot29}{2\cdot3\cdot...\cdot30}\cdot\frac{3\cdot4\cdot...\cdot31}{2\cdot3\cdot...\cdot30}=\frac{1}{30}\cdot\frac{31}{2}=\frac{31}{60}\)

`765/900 = 17/20`

17/20 nha

\(A=\frac{3x8x15x24x.....x899}{4x9x16x25x.....x900}\)

A=3/4x8/9x15/16x24/25x...x899/900

A=1.3/2² x 2.4/3³ x 3.5/4² x 4.6/5⁵ x ... x 29.31/30²

A=1.2.3.4...29/2.3.4.5...30 x 3.4.5.6...31/2.3.4.5...30

A=1/30 x 31/2

A=31/60