Question

1)$frac{5}{12} *2 frac{2}{3} -7 frac{2}{3} *(- frac{1}{6} )=$
2)$-1 frac{3}{7} *4 frac{2}{3} +1 frac{7}{9} *(- frac{4}{3} )$

Answer 1

1)   5/12·2²/₃-7²/₃·(-1/6)=5/12·8/3-23/3·(1/6)=(5·8)/(12·3)+8/(3·6)=
=10/9+4/9=(10+4)/9=14/9=1⁵/₉;
2)   -1³/₇·4²/₃+1⁷/₉·(-4/3)=-10/7·14/3+16/9·(-4/3)=-(14·10)/(7·3)-(16·4)/(9·3)=
=-20/3-64/27=(-180-64)27=-244/27=-9¹/₂₇;