= 3/4 + 6/7 + 19/32 + 1/4 + 1/7 + 13/23
= (3/4 + 1/4) + (6/7 + 1/7) + 19/32 + 13/23
= 1 + 1 + 19/32 + 13/23
= 2 + 19/32 + 13/23
= 83/32 + 13/23
= 2325/736
\(\dfrac{75}{100}+\dfrac{18}{21}+\dfrac{19}{32}+\dfrac{1}{4}+\dfrac{3}{21}+\dfrac{13}{23}\)
\(=\dfrac{3}{4}+\dfrac{6}{7}+\dfrac{19}{32}+\dfrac{1}{4}+\dfrac{1}{7}+\dfrac{13}{23}\) ( rút gọn )
\(=\left(\dfrac{3}{4}+\dfrac{1}{4}\right)+\left(\dfrac{6}{7}+\dfrac{1}{7}\right)+\dfrac{19}{32}+\dfrac{13}{23}\)
\(=1+1+\dfrac{19}{32}+\dfrac{13}{23}\)
\(=2+\dfrac{19}{32}+\dfrac{13}{23}\)
\(=\left(\dfrac{64}{32}+\dfrac{19}{32}\right)+\dfrac{13}{23}\)
\(=\dfrac{83}{32}+\dfrac{13}{23}\)
\(=\dfrac{2325}{736}\)