Question

(7/41 - 4/9) - (3/19 +7/41) + (4/9 - 16/19)

Answer 1

   \(\left(\dfrac{7}{41}-\dfrac{4}{9}\right)-\left(\dfrac{3}{19}+\dfrac{7}{41}\right)+\left(\dfrac{4}{9}-\dfrac{16}{19}\right)\)

\(=\dfrac{7}{41}-\dfrac{4}{9}-\dfrac{3}{19}-\dfrac{7}{41}+\dfrac{4}{9}-\dfrac{16}{19}\)

\(=-\dfrac{19}{19}\)

\(=-1\)

Answer 2

Ta có: \(\left(\dfrac{7}{41}-\dfrac{4}{9}\right)-\left(\dfrac{3}{19}+\dfrac{7}{41}\right)+\left(\dfrac{4}{9}-\dfrac{16}{19}\right)\)

\(=\dfrac{7}{41}-\dfrac{4}{9}-\dfrac{3}{19}-\dfrac{7}{41}+\dfrac{4}{9}-\dfrac{16}{19}\)

\(=-\left(\dfrac{3}{19}+\dfrac{16}{19}\right)\)

\(=-\dfrac{19}{19}=-1\)