Question

Решите дроби по действиям. 
1) (3 1/2-2 2/3+5 5/6+4 3/5)*24
2) (5 3/8+18 1/2-7 5/25): 2/3
3) (12 5/12+1 2/3-3 5/6+2 3/4):(2 1/2*2/5-7/9)
4) 48 3/5:6 3/4*5/12-2 5/6+1 75/94*(1 1/2*1/3-13:26)

Answer 1

1
$(3 frac{1}{2}-2 frac{2}{3}+5 frac{5}{6}+4 frac{3}{5})*24=270.4 \ \ 1) 3 frac{1}{2}-2 frac{2}{3}+5 frac{5}{6}+4 frac{3}{5}= frac{7}{2}- frac{8}{3}+ frac{35}{6}+ frac{23}{5}= frac{105-80+175+138}{30}= frac{338}{30} = frac{169}{15} \ \ 2) frac{169}{15}* frac{24}{1}= frac{1352}{5} =270.4$

2
$(5 frac{3}{8}+18 frac{1}{2}-7 frac{5}{25}): frac{2}{3} = 25.0125\ \ 1) 5 frac{3}{8}+18 frac{1}{2}-7 frac{5}{25}=5.375+18.5-7.2=16.675=16 frac{27}{40} \ \ 2)16 frac{27}{40}:frac{2}{3}= frac{667}{40}* frac{3}{2}= frac{2001}{80}= 25.0125$

3
$(12 frac{5}{12}+1 frac{2}{3}-3 frac{5}{6}+ 2frac{3}{4} ):(2 frac{1}{2}* frac{2}{5}- frac{7}{9})=58.5\ \ 1)12 frac{5}{12}+1 frac{2}{3}-3 frac{5}{6}+ 2frac{3}{4} = frac{149}{12}+frac{5}{3}- frac{23}{6}+ frac{11}{4}= frac{149+20-46+33}{12} = frac{156}{12} =13 \ \ 2) 2 frac{1}{2}* frac{2}{5}= frac{5}{2}* frac{2}{5}=1 \ \ 3)1- frac{7}{9}= frac{9-7}{9}= frac{2}{9} \ \ 4)13: frac{2}{9}= frac{13}{1}* frac{9}{2}= frac{117}{2}= 58.5$

4
$48 frac{3}{5}:6 frac{3}{4}* frac{5}{12}-2 frac{5}{6}+1 frac{75}{94}*(1 frac{1}{2}* frac{1}{3}-13:26 ) =frac{1}{6} \ \ 1)1 frac{1}{2}* frac{1}{3}= frac{3}{2}* frac{1}{3}= frac{1}{2}=0.5 \ \ 2)13:26=0.5 \ \ 3)0.5-0.5=0 \ \ 4)1 frac{75}{94}*0=0 \ \ 5)48 frac{3}{5}:6 frac{3}{4}=48.6:6.75=7.2= frac{36}{5} \ \ 6)frac{36}{5}* frac{5}{12}= 3 \ \ 7)3-2 frac{5}{6}=frac{1}{6} \ \ 8)frac{1}{6}+0=frac{1}{6}$

Answer 2

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