Question

Вычислите: 1) (-3/14 -8/21) : 20/21 2) 3/8 : (-5/8)-(-2 1/4):(-1 4/11) 3) (-4 1/12+ 3 9/10): 3 3/10 4) (11/14-5/6):(11/14-3/4)

Answer 1

$(- frac{3}{14} - frac{8}{21} ) : frac{20}{21} = - (frac{3*3 + 8*2}{42} ) * frac{21}{20} = - frac{25}{42} * frac{21}{20} = - frac{5 *1 }{2*4} = - frac{5}{8}$

$frac{3}{8} : (- frac{5}{8}) -(- 2 frac{1}{4}) : (-1 frac{4}{11} ) = -frac{3*8}{8*5} + frac{9 }{4} * ( - frac{4}{15} ) = - frac{3}{5} - frac{3}{5} = -frac{6}{5} = -1 frac{1}{5}$

$( - 4 frac{1}{12} +3 frac{9}{10} ) : 3 frac{3}{10} =-( 4frac{5}{60} - 3 frac{54}{60}) * frac{10}{33} =- frac{11}{60} * frac{10}{33} = - frac{1*1}{6*3} = - frac{1}{18}$

$( frac{11}{14} - frac{5}{6} ): ( frac{11}{14} - frac{3}{4} )= ( frac{66-70}{84} ): ( frac{44-42}{56}) = - frac{4}{84} * frac{56}{2} = \ \ = - frac{1*28}{21*1} = - frac{4}{3} =- 1 frac{1}{3}$