Ответ:

  1. а) \(\frac12+\frac34-\frac58=\frac48+\frac68-\frac58=\frac58\).

    б) \(\frac23+\frac16-\frac12=\frac46+\frac16-\frac36=\frac26=\frac13\).

  2. а) \(\left(\frac1{10}+\frac35\right)\cdot15=\frac7{10}\cdot15=\frac{21}2=10\frac12\).

    б) \(12\left(\frac23-\frac14\right)=12\cdot\frac5{12}=5\).

  3. а) \(\left(\frac19+\frac13\right):\frac23=\frac49\cdot\frac32=\frac23\).

    б) \(2-\frac23:\frac79=2-\frac23\cdot\frac97=2-\frac67=\frac87=1\frac17\).

  4. а) \(\frac14:\frac29:\frac37=\frac14\cdot\frac92\cdot\frac73=\frac{21}8=2\frac58\).

    б) \(\frac3{10}\cdot\frac7{100}:1\frac1{99}=\frac{21}{1000}:\frac{100}{99}=\frac{21}{1000}\cdot\frac{99}{100}=\frac{2079}{100000}\).