Răspuns:
a) 3/5 × (1/9+4/9)=
=3/5×5/9=
=3/9×5/5=1/3×1=1/3
3/5 × (1/9+4/9)=
=3/5×1/9 + 3/5×4/9=
= 3/45 + 12/45=
=15/45=
simplificăm prinv5
=3/9=
simplificm prin 3
=1/3
b) 1/7× (7/15-3/10)=
=1/7 × (7×2/15×2 - 3×3/10×3)=
=1/7 × (14/30-9/30)=
=1/7 × 5/30=
=5/210=
=1/42
1/7× (7/15-3/10)=
=1/7×7/15-1/7×3/10=
=1/15×7/7-1/7×3/10=
=1/15×1-3/70=
=1/15-3/70=
=14/15×14-3×3/70×3=
=14/210‐9/210=
=5/210=
=1/42