Монгол Бодлогын Сан

Заавар: Үйлдлийн дараалал нь

$$(8)~~\dfrac{\left(9\dfrac14\overset{(1)}{-}7\dfrac25\right)\overset{(2)}{\cdot}2\dfrac12\overset{(3)}{-}1\dfrac12}{\left(3\dfrac18\overset{(4)}+4\dfrac{3}{20}\overset{(5)}-1\dfrac{5}{48}\overset{(6)}-5\dfrac25\right)\overset{(7)}:3\dfrac{1}{12}}\overset{(14)}+\dfrac{6\overset{(10)}-4\overset{(9)}\cdot\dfrac{1}{10}}{7\overset{(12)}+1\overset{(11)}:\dfrac37}~~(13)$$

Бодолт:

1. $9\dfrac14-7\dfrac25=2+\dfrac14-\dfrac25=2+\dfrac5{20}-\dfrac8{20}=\dfrac{37}{20}$
2. $\dfrac{37}{20}\cdot\dfrac52=\dfrac{37}{8}$
3. $\dfrac{37}{8}-\dfrac{3}{2}=\dfrac{37}{8}-\dfrac{12}{8}=\dfrac{25}{8}$
4. $\dfrac{25}{8}+\dfrac{83}{20}=\dfrac{125}{40}+\dfrac{166}{40}=\dfrac{291}{40}=7\dfrac{11}{40}$
5. $7\dfrac{11}{40}-1\dfrac{5}{48}=6+\dfrac{66}{240}-\dfrac{25}{240}=6\dfrac{41}{240}$
6. $6\dfrac{41}{240}-5\dfrac{2}{5}=1+\dfrac{41}{240}-\dfrac{96}{240}=\dfrac{185}{240}=\dfrac{37}{48}$
7. $\dfrac{37}{48}:3\dfrac{1}{12}=\dfrac{37}{48}:\dfrac{37}{12}=\dfrac{37}{48}\cdot\dfrac{12}{37}=\dfrac14$
8. $\dfrac{25}{8}:\dfrac14=\dfrac{25}{8}\cdot\dfrac41=\dfrac{25}{2}$
9. $4\cdot\dfrac{1}{10}=\dfrac{4}{10}=\dfrac25$
10. $6-\dfrac25=5\dfrac{3}{5}$
11. $1:\dfrac37=1\cdot\dfrac73$
12. $7+\dfrac73=9\dfrac{1}{3}$
13. $5\dfrac35:9\dfrac13=\dfrac{28}{5}:\dfrac{28}{3}=\dfrac{28}{5}\cdot\dfrac{3}{28}=\dfrac35$
14. $\dfrac{25}{2}+\dfrac{3}{5}=12.5+0.6=13.1$