Вопрос:

2. Вычислить: 1) 7/24 + 11/30; 2) 3 1/2 − 1 4/9; 3) 3/5 : 2/7; 4) 1 2/5 · 2 1/7; 5) 3/5 : 9/10; 6) 3 1/3 : 1 1/2; 7) 1,234 + 3,038; 8) 5,18 − 4,257; 9) 1,12 · 2,3; 10) 2,121 : 1,2; 11) 2,8 : 0,09; 12) 1/3 + 1,25; 13) 1/6 + 0,33; 14) 3/14 · 1,05; 15) 1,7 − 7/9.

Ответ:

  1. \(\frac{7}{24}+\frac{11}{30}=\frac{35+44}{120}=\frac{79}{120}\).
  2. \(3\frac12-1\frac49=\frac72-\frac{13}{9}=\frac{37}{18}=2\frac1{18}\).
  3. \(\frac35:\frac27=\frac35\cdot\frac72=\frac{21}{10}=2\frac1{10}\).
  4. \(1\frac25\cdot2\frac17=\frac{12}{5}\cdot\frac{15}{7}=\frac{36}{7}=5\frac17\).
  5. \(\frac35:\frac9{10}=\frac35\cdot\frac{10}{9}=\frac23\).
  6. \(3\frac13:1\frac12=\frac{10}{3}\cdot\frac23=\frac{20}{9}=2\frac29\).
  7. \(1,234+3,038=4,272\).
  8. \(5,180-4,257=0,923\).
  9. \(1,12\cdot2,3=2,576\).
  10. \(2,121:1,2=1,7675\).
  11. \(2,8:0,09=31\frac19\).
  12. \(\frac13+1,25=\frac13+\frac54=1\frac7{12}\).
  13. \(\frac16+0,33=\frac16+\frac{33}{100}=\frac{149}{300}\).
  14. \(\frac3{14}\cdot1,05=\frac3{14}\cdot\frac{21}{20}=\frac9{40}=0,225\).
  15. \(1,7-\frac79=\frac{17}{10}-\frac79=\frac{83}{90}\).