Question

14. 3) Замените отношение дробных чисел равным ему отношением нату- ральных чисел
$\frac{2}{5 } \div \frac{1}{3} \\ \frac{4}{7} \div \frac{1}{2} \\ \frac{5}{6} \div \frac{3}{8} \\ 3\frac{1}{9} \div \frac{1}{6} \\ 1 \frac{5}{12} \div \frac{2}{15} \\ \frac{1}{8} \div 1 \frac{7}{12}$
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Answer 1

$\displaystyle \frac{2}{5} *\frac{3}{1} =\frac{6}{5} ,\\ \displaystyle \frac{4}{7} *\frac{2}{1} =\frac{8}{7} ,\\ \displaystyle \frac{5}{6} *\frac{8}{3} =\frac{40}{18} =\frac{20}{9}$

$\displaystyle \frac{28}{9} :\frac{1}{6}= \frac{28}{9} *\frac{6}{1} =\frac{28*2}{3*1} =\frac{56}{3} ,\\ \displaystyle \frac{17}{12} :\frac{2}{15} =\frac{17}{12}*\frac{15}{2}=\frac{17*5}{4*2} =\frac{86}{8} ,$

$\displaystyle \frac{1}{8} :\frac{19}{12} =\frac{1}{8} *\frac{12}{19} =\frac{1*3}{2*19} =\frac{3}{38}$