Вопрос:

2. Амалдарды орындаңдар: 1) (5 5/6 + 8 2/9) : 25,3 − 3 1/9 + 1,5 : 27/28; 2) 117,5 · 4/47 − 11 2/3 + (10 2/25 − 8 7/15) : 11/45; 3) (73,6 − 72 5/9) : 6 4/15 + 7/13 · (20 2/3 − 19 3/7); 4) (81 2/15 − 79,3) · (24,04 − 22,68) · (1 2/3 + 1 1/9); 5) (52,25 − 49 1/7) · (40,01 − 36,81) : (6 1/6 − 2 1/42); 6) (28,24 − 29,1) · (11,75 + 30 5/6) : (40,4 − 6 1/3).

Ответ:

  1. \((5\frac56+8\frac29):25.3=\frac{125}{18}:\frac{253}{10}=\frac{625}{2277}\), ал \(1.5:\frac{27}{28}=\frac{14}{9}\). Сондықтан нәтиже \(\frac{625}{2277}-\frac{28}{9}+\frac{14}{9}=\frac{625}{2277}-\frac{14}{9}=-\frac{2921}{2277}\). Жауабы: \(-\frac{2921}{2277}\).
  2. \(117.5\cdot\frac4{47}=10\), \(10\frac2{25}-8\frac7{15}=\frac{116}{75}\), оны \(\frac{11}{45}\)-ке бөлсек \(\frac{348}{55}\).
    \(10-11\frac23+\frac{348}{55}=\frac{155}{33}\). Жауабы: \(\frac{155}{33}=4\frac{23}{33}\).
  3. \(73.6-72\frac59=\frac{52}{45}\), ал \(6\frac4{15}=\frac{94}{15}\), бірінші бөлік \(\frac{26}{141}\). Екінші бөлік: \(\frac7{13}(20\frac23-19\frac37)=\frac7{13}\cdot\frac{46}{21}=\frac{46}{39}\).
    Қосындысы \(\frac{26}{141}+\frac{46}{39}=\frac{160}{141}\). Жауабы: \(\frac{160}{141}=1\frac{19}{141}\).
  4. \(81\frac2{15}-79.3=\frac{28}{15}\), \(24.04-22.68=1.36=\frac{34}{25}\), \(1\frac23+1\frac19=\frac{25}{9}\).
    \(\frac{28}{15}\cdot\frac{34}{25}\cdot\frac{25}{9}=\frac{952}{135}=7\frac7{135}\). Жауабы: \(7\frac7{135}\).
  5. \(52.25-49\frac17=\frac{43}{7}\), \(40.01-36.81=3.2=\frac{16}{5}\), \(6\frac16-2\frac1{42}=\frac{172}{30}=\frac{86}{15}\).
    \(\frac{43}{7}\cdot\frac{16}{5}:\frac{86}{15}=\frac{24}{7}\). Жауабы: \(\frac{24}{7}=3\frac37\).
  6. \(28.24-29.1=-0.86=-\frac{43}{50}\), \(11.75+30\frac56=\frac{511}{12}\), \(40.4-6\frac13=\frac{511}{15}\).
    \(-\frac{43}{50}\cdot\frac{511}{12}:\frac{511}{15}=-\frac{43}{40}\). Жауабы: \(-1\frac3{40}\).