Question

Сократите обыкновенные дроби 6\9 12/15 18/21 30 / 33 24/27 36/39 5/15 10/35 6/18 14/49 16/40 100 /200

Answer 1

$\displaystyle \frac{6}{9}=\frac{2*3}{3*3}=\frac{2}{3}\\\\\frac{12}{15}=\frac{4*3}{5*3}=\frac{4}{5}\\\\\frac{18}{21}=\frac{6*3}{7*3}=\frac{6}{7}\\\\\frac{30}{33}=\frac{10*3}{11*3}=\frac{10}{11}\\\\\frac{24}{27}=\frac{8*3}{9*3}=\frac{8}{9}\\\\\frac{36}{39}=\frac{12*3}{13*3}=\frac{12}{13}\\\\\frac{5}{15}=\frac{1*5}{3*5}=\frac{1}{3}\\\\\frac{10}{35}=\frac{2*5}{7*5}=\frac{2}{7}\\\\\frac{6}{18}=\frac{1*6}{3*6}=\frac{1}{3}$

$\displaystyle \frac{14}{49}=\frac{2*7}{7*7}=\frac{2}{7}\\\\\\ \frac{16}{40}=\frac{2*8}{5*8}=\frac{2}{5}\\\\\frac{100}{200}=\frac{1*100}{2*100}=\frac{1}{2}$