Question

2целых 7/8 * 5 целых 1/3 : 3 целых 5/6 9целых 4/5 : ( 4 целых 2/3 * 10целых 1/2) 6 целых 2/3 : ( 4/5-7/20)

Answer 1

1)2целых 7/8 * 5 целых 1/3 : 3 целых 5/6
1)$2 \frac{7}{8}*5 \frac{1}{3}= \frac{23}{8} * \frac{16}{3}= \frac{23}{1} *\frac{2}{3}= \frac{46}{3}=15 \frac{1}{3}$
2)$15 \frac{1}{3}/ 3\frac{5}{6}= \frac{46}{3} / \frac{23}{6}= \frac{46}{3} * \frac{6}{23}= \frac{2}{1}* \frac{2}{1}= \frac{4}{1}=4$
ответ:4
2)9целых 4/5 : ( 4 целых 2/3 * 10целых 1/2)
1)$4 \frac{2}{3}*10 \frac{1}{2}= \frac{14}{3} * \frac{21}{2}= \frac{7}{1} * \frac{7}{1}= \frac{49}{1}=49$
2)$9 \frac{4}{5}/49= \frac{49}{5}* \frac{1}{49}= \frac{1}{5}$
ответ: $\frac{1}{5}$
3)6 целых 2/3 : ( 4/5-7/20)
1)$\frac{4}{5} - \frac{7}{20}= \frac{4*4}{20}- \frac{7*1}{20}= \frac{16}{20}- \frac{7}{20}= \frac{9}{20}$
2)$6 \frac{2}{3}/ \frac{9}{20}= \frac{20}{3}* \frac{20}{9}= \frac{400}{27}$
ответ: $\frac{400}{27}$

Answer 2

$\cfrac{23}{8}\cdot\cfrac{16}{3}\cdot\cfrac{6}{23}=4$
$\cfrac{49}{5}\cdot\cfrac{3}{14}\cdot\cfrac{2}{21}=\cfrac{1}{5}$
$\cfrac{20}{3}:\left(\cfrac{4}{5}-\cfrac{7}{20}\right)=\cfrac{20}{3}\cdot\cfrac{20}{9}=\cfrac{400}{27}$