1.b.
\(\dfrac{9}{14}-\dfrac{5}{9}+\dfrac{3}{14}=\dfrac{9+3}{14}-\dfrac{5}{9}=\dfrac{12}{14}-\dfrac{5}{9}\)
\(=\dfrac{6}{7}-\dfrac{5}{9}=\dfrac{54}{63}-\dfrac{35}{63}=\dfrac{54-35}{63}=\dfrac{19}{63}\)
9/14 - 5/9 + 3/14 = (9/14 +3/14) - 5/9 = 6/7 - 5/9 = 1/7