Question

6) (8/11)²×11/32
8) (2/3)²×15/24​

Answer 1

6) (8/11)² · 11/32 = 8²/11² · 11/32 = 64/121 · 11/32 = (2·1)/(11·1) = 2/11;

8) (2/3)² · 15/24 = 2²/3² · 15/24 = 4/9 · 15/24 = (1·5)/(3·6) = 5/18.

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6) 5 6/13 - 2 = 3 целых 6/13;

8) 2 3/14 - 1 = 1 целая 3/14.

Answer 2

$\displaystyle(\frac{8}{11} )^2*\frac{11}{32} =\frac{8^{2} }{11^2} *\frac{11}{32} =\frac{64}{121} *\frac{11}{32} =\frac{2}{11} *\frac{1}{1} =\frac{2}{11}$

$\displaystyle(\frac{2}{3})^2*\frac{15}{24} =\frac{2^2}{3^2}* \frac{15}{24}=\frac{4}{9} *\frac{15}{24}=\frac{1}{3} *\frac{5}{6} =\frac{5}{18}$

$\displaystyle5\frac{6}{13} -2=3\frac{6}{13} \\\\2\frac{3}{14} -1=1\frac{3}{14}$