Question

i need help due tommorrow !
9/11÷13/33
what step can you take to check that your results is correct

A. multiply your results by 13/33

B. multiply your results by11/9

C. multiply your results by 9/11

D. multiply your results by 13/33

Answer 1

$\bf \stackrel{dividend}{\cfrac{9}{11}}\div \stackrel{divisor}{\cfrac{13}{33}}\implies \cfrac{9}{11}\cdot \cfrac{33}{13}\implies \cfrac{33}{11}\cdot \cfrac{9}{13}\implies \cfrac{3}{1}\cdot \cfrac{9}{13}\implies \boxed{\cfrac{27}{13}}\\\\ -------------------------------\\\\ \stackrel{divisor}{\cfrac{13}{33}}\cdot \boxed{\cfrac{27}{13}}\implies \cfrac{27}{33}\implies \cfrac{3\cdot 9}{3\cdot 11}\implies \cfrac{9}{11}$