*cam tớ hơi mờ nên thông cảm nhé:<.

\(\dfrac{12}{1\cdot5}+\dfrac{12}{5\cdot9}+...+\dfrac{12}{97\cdot101}\)

\(=3\left(\dfrac{4}{1\cdot5}+\dfrac{4}{5\cdot9}+...+\dfrac{4}{97\cdot101}\right)\)

\(=3\left(1-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+...+\dfrac{1}{97}-\dfrac{1}{101}\right)\)

=3*100/101

=300/101

\(\dfrac{12}{7}\times\dfrac{7}{15}=\dfrac{12}{15}=\dfrac{4}{5}\)

\(\dfrac{12}{7}\times\dfrac{7}{15}=\dfrac{84}{105}=\dfrac{4}{5}\)

bạn bị lỗi rồi

\(12:\left\{400:\left[500-\left(5^3+5^2\cdot7\right)\right]\right\}\)

\(=12:\left\{400:200\right\}\)

=12:2

=6

\(A=\dfrac{30}{4x7}+\dfrac{30}{7x10}+\dfrac{30}{10x13}+...+\dfrac{30}{37x40}\)

\(=10x\left(\dfrac{1}{4}-\dfrac{1}{7}\right)+10x\left(\dfrac{1}{7}-\dfrac{1}{10}\right)+...+10x\left(\dfrac{1}{37}-\dfrac{1}{40}\right)\)

=10x\(\left(\dfrac{1}{4}-\dfrac{1}{40}\right)=\dfrac{10x9}{10x4}=\dfrac{9}{4}\)

12 giờ 43 phút - 7 giờ 17 phút = 5 giờ 26 phút 

6 phút 15 giây x 4 = 7 phút

\(\dfrac{13}{14}\)

\(\dfrac{8}{5}\)

1 2 giờ = 30 phút        1 6 giờ <  1 5  giờ

1 3 giờ < 40 phút        1 2 giờ >  1 3 giờ

\(\dfrac{7}{15};\dfrac{11}{15};\dfrac{13}{15};\dfrac{19}{13};\dfrac{42}{21};\dfrac{30}{13};\dfrac{14}{5};\dfrac{16}{5};5\)

\(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}=\dfrac{14}{32}-\dfrac{4}{32}+\dfrac{9}{32}=\dfrac{19}{32}\)

\(\dfrac{5}{4}-\dfrac{25}{30}\times\dfrac{37}{44}+\dfrac{-25}{30}\times\dfrac{13}{44}+\dfrac{-25}{30}\times\dfrac{-6}{44}\)

\(=-\dfrac{25}{30}\times\left(\dfrac{5}{4}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)

\(=-\dfrac{25}{30}\times\left(\dfrac{55}{44}+\dfrac{37}{44}+\dfrac{13}{44}-\dfrac{6}{44}\right)\)

\(=-\dfrac{25}{30}\times\dfrac{99}{44}\)

\(=-\dfrac{5}{6}\times\dfrac{9}{4}\)

\(=-\dfrac{15}{8}\)

\(\left(\dfrac{7}{16}+\dfrac{-1}{8}+\dfrac{9}{32}\right):\dfrac{5}{4}\)

\(=\left(\dfrac{14}{32}+\dfrac{-4}{32}+\dfrac{9}{32}\right):\dfrac{5}{4}\)

\(=\dfrac{19}{32}:\dfrac{5}{4}\)

\(=\dfrac{19}{32}.\dfrac{4}{5}=\dfrac{19.4}{32.5}=\dfrac{19}{40}\)

\(\dfrac{-25}{30}.\dfrac{37}{44}+\dfrac{-25}{30}.\dfrac{13}{44}+\dfrac{-25}{30}.\dfrac{-6}{44}\)

\(=\dfrac{-25}{30}.\left(\dfrac{37}{44}+\dfrac{13}{44}+\dfrac{-6}{44}\right)\)

\(=\dfrac{-25}{30}.\dfrac{44}{44}=\dfrac{-5}{6}.1=-\dfrac{5}{6}\)

kết quả là:15