Question

выполните действие 1) (8/11+3/22) 3) 1 7/12:(3/8+5/12) 4)17/36:(7/12-5/9) 5) (3/14+5/7):3 5/7 6)19/24:(3/16+5/24)

Answer 1

1.
$\frac{8}{11} + \frac{3}{22} = \frac{16}{22} + \frac{3}{22} = \frac{19}{22}$
3.
$1 \frac{7}{12} \div ( \frac{3}{8} + \frac{5}{12} ) = \frac{19}{12} \div ( \frac{9}{24} + \frac{10}{24} ) = \\ \frac{19}{12 } \div \frac{19}{24} = \frac{19}{12} \times \frac{24}{19} = 2$
4.
$\frac{17}{36} \div ( \frac{7}{12} - \frac{5}{9} ) = \frac{17}{36} \div ( \frac{21}{36} - \frac{20}{36} ) = \\ \frac{17}{36} \div \frac{1}{36} = \frac{17}{36} \times \frac{36}{1} = 17$
5
$( \frac{3}{14} + \frac{5}{7} ) \div 3 \frac{5}{7} = ( \frac{3}{14} + \frac{10}{14} ) \div \frac{26}{7} = \\ \frac{13}{14} \times \frac{7}{26} = \frac{1}{4}$
6.
$\frac{19}{24 } \div ( \frac{3}{16} + \frac{5}{24}) = \frac{19}{24 } \div ( \frac{9}{48} + \frac{10}{48} ) = \\ \frac{19}{24 } \div \frac{19}{48} = \frac{19}{24} \times \frac{48}{19} = 2$