Question

Найдите значения выражения: (21/22-5/11)-(22/39-3/13)

Answer 1

$(frac{21}{22}-frac{5}{11}) - (frac{22}{39}-frac{3}{13}) = (frac{21}{22}-frac{5*2}{11*2}) - (frac{22}{39}-frac{3*3}{13*3}) = = (frac{21}{22}-frac{10}{22}) - (frac{22}{39}-frac{9}{39}) = frac{21-10}{22}-frac{22-9}{39}=frac{11}{22}-frac{13}{39}=frac{1}{2}-frac{1}{3}=frac{1*3-1*2}{6}=frac{1}{6}$