a) \(\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot\left(\dfrac{1}{6}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot0\)
\(=0\)
b) \(\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot\left(\dfrac{1}{4}-\dfrac{1}{5}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot\left(\dfrac{1}{20}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot0\)
\(=0\)
a) \(\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot\dfrac{3-2-1}{6}\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right)\cdot0=0\)
b) \(\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot\left(\dfrac{1}{4}-\dfrac{1}{5}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot\left(\dfrac{5}{20}-\dfrac{4}{20}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot\dfrac{5-4-1}{20}\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\cdot0=0\)
a.
\(\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right).\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right).\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right).\left(\dfrac{3-2-1}{6}\right)\)
\(=\left(\dfrac{105}{31}-\dfrac{31}{202}+\dfrac{104}{91}\right).0\)
\(=0\)
b.
\(\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right).\left(\dfrac{1}{4}-\dfrac{1}{5}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right).\left(\dfrac{5}{20}-\dfrac{4}{20}-\dfrac{1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right)\left(\dfrac{5-4-1}{20}\right)\)
\(=\left(\dfrac{2022}{71}-\dfrac{371}{20}+\dfrac{10}{93}\right).0\)
\(=0\)