Question

№1383.Найдите значение дробного выражения:
$а) \frac{ 1\frac{1}{5} }{ \frac{3}{20} }$
$б) \frac{ 8\frac{2}{5} }{ 2\frac{2}{5} }$
$в) \frac{ 2\frac{3}{10} }{ 1\frac{4}{5} }$
$г) \frac{8 \frac{1}{2} }{15 \div \frac{5}{17} }$
$д) \frac{ 4\frac{4}{5} \div \frac{4}{17} }{3 \frac{2}{5} }$
$е) \frac{11 \frac{1}{3} \div \frac{4}{21} }{4 \frac{1}{4} }$
​

Answer 1

а)

$\frac{1 \frac{1}{5} }{ \frac{3}{20} } = \frac{6}{5} \div \frac{3}{20} = \frac{6}{5} \times \frac{20}{3} = 8$

б)

$\frac{8 \frac{2}{5} }{2 \frac{2}{5} } = \frac{42}{5} \div \frac{12}{5} = \frac{42}{5} \times \frac{5}{12} = \frac{7}{2} = 3.5$

в)

$\frac{2 \frac{3}{10} }{1 \frac{4}{5} } = \frac{23}{10} \div \frac{9}{5} = \frac{23}{10} \times \frac{5}{9} = \frac{23}{18} = 1 \frac{5}{18}$

г)

$\frac{8 \frac{1}{2} }{15 \div \frac{5}{17} } = \frac{17}{2} \div (15 \times \frac{17}{5} ) = \frac{17}{2} \div 51 = \frac{17}{102} = \frac{1}{6}$

д)

$\frac{4 \frac{4}{5} \div \frac{4}{17} }{3 \frac{2}{5} } =( \frac{24}{5} \times \frac{17}{4} ) \div \frac{17}{5} = \frac{24}{5} \times \frac{17}{4} \times \frac{5}{17} = \frac{24}{4} = 6$

е)

$\frac{11 \frac{1}{3} \div \frac{4}{21} }{4 \frac{1}{4} } = \frac{34}{3} \times \frac{21}{4} \div \frac{17}{4} = \frac{34}{3} \times \frac{21}{4} \times \frac{4}{17} = 14$