Question

Rút gọn phân số (-14).11+14.2/11.21-7.22

Answer 1

Rút gọn phân số (-14).11+14.2/11.21-7.22

(-14).11+14.2/11.21-7.22

 =-154+28/231-154

=-126/77

=-18/11

Answer 2

\(\dfrac{-14.11+14.2}{11.21-7.22}=\dfrac{14.-11+14.2}{11.21-14.11}=\dfrac{14\left(-11+2\right)}{11\left(21-14\right)}=\dfrac{14.-9}{11.7}=\dfrac{-126}{77}=\dfrac{-18}{11}\)

Answer 3

Ta có: \(\dfrac{-14\cdot11+14\cdot2}{11\cdot21-7\cdot22}\)

\(=\dfrac{-14\cdot\left(11-2\right)}{11\cdot7\cdot3-7\cdot22}\)

\(=\dfrac{-14\cdot9}{7\left(33-22\right)}\)

\(=\dfrac{-2\cdot9}{11}\)

\(=-\dfrac{18}{11}\)