Question

Выполните умножения в дробях; а) 14,25 * 6,4= б) 15,04 * 0,125= в) 0,816 * 0,035= г) 22,5 * 4,006= д) 0,81 * 1,033= е) 4,25 * 0,00444= ж) 3600 * 2,005= з)0,705 * 64,46= и)0,0155 * 1200

Answer 1

а) $14,25\cdot6,4=14\frac{25}{100}\cdot6\frac{4}{10}=14\frac{5}{20}\cdot6\frac{2}{5}=\frac{285}{20}\cdot\frac{32}{5}=\frac{456}{5}=91\frac{1}{5}=91,2$

б) $15,04\cdot0,125=15\frac{4}{100}\cdot\frac{125}{1000}=15\frac{1}{25}\cdot\frac{5}{40}= \frac{376}{25}\cdot\frac{5}{40}=\frac{94}{50}=1\frac{44}{50}=1,88$

в) $0,816\cdot0,035=\frac{816}{1000}\cdot\frac{35}{1000}=\frac{204}{250}\cdot\frac{7}{200}= \frac{357}{12500}=0,02856$

г) $22,5\cdot4,006=22\frac{5}{10}\cdot4\frac{6}{1000}=22\frac{1}{2}\cdot4\frac{3}{500}=\frac{45}{2}\cdot\frac{2003}{500}=\frac{18027}{200}=90,135$

д) $0,81\cdot1,033=\frac{81}{100}\cdot1\frac{33}{1000}=\frac{81}{100}\cdot\frac{1033}{1000}= \frac{83673}{100000}=0,83673$

е) $4,25\cdot0,00444=4\frac{25}{100}\cdot\frac{444}{100000}=4\frac{5}{20}\cdot\frac{111}{25000}=\frac{85}{20}\cdot\frac{111}{25000}=\frac{1887}{100000}=0,01887$

ж) $3600\cdot2,005=3600\cdot2\frac{5}{1000}=3600\cdot2\frac{1}{200}=3600\cdot\frac{401}{200}=7218$

з) $0,705\cdot64,46=\frac{705}{1000}\cdot64\frac{46}{100}=\frac{705}{1000}\cdot64\frac{23}{50}=\frac{705}{1000}\cdot\frac{3223}{50}=\frac{454443}{10000}=45,4443$

и) $0,0155\cdot1200=\frac{155}{10000}\cdot1200=\frac{31}{2000}\cdot1200=\frac{93}{5}=18\frac{3}{5}=18,6$