Question

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1)   (8 2/3 +5 *1 1/8 - 10 * 2 2/8): (8 1/2 - 5 3/4)=?
2)   -3 1/2 + 12 5/18 + 4 11/24 - 4 3/8=?
3)   6,25 * 2 1/25 - (2,064 - 1 3/4) : 2/5=?

Answer 1

$(8 frac{2}{3} +5 *1 frac{1}{8} - 10 * 2 frac{1}{8}): (8 frac{1}{2} - 5 frac{3}{4})= \ \ =(frac{26}{3} +5 *frac{9}{8} - 10*frac{17}{8}): (frac{17}{2} - frac{23}{4})= \ \ =(frac{26}{3} +frac{45}{8} - frac{170}{8}): (frac{17}{2} - frac{23}{4})= \ \ =(frac{26}{3} - frac{125}{8}): (frac{17}{2} - frac{23}{4})= \ \ =(frac{26*8-125*3}{24} ): (frac{17*2-23}{4})= \ \ =frac{-167}{24} : frac{11}{4}=-frac{167}{24}* frac{4}{11}=- frac{167}{66} =-2 frac{35}{66}$


$-3 frac{1}{2} + 12 frac{5}{18} + 4 frac{11}{24} - 4 frac{3}{8}= -frac{7}{2} + frac{221}{18} + frac{107}{24} - frac{35}{8}= \ \ =frac{-7*36+221*4+107*3-35*9}{72}=frac{-252+884+321-315}{72} = \ \ =frac{638}{72} = frac{319}{36} =8 frac{31}{36}$


$6,25 * 2 frac{1}{25} - (2,064 - 1 frac{3}{4}) : frac{2}{5}=6 frac{25}{100} * 2 frac{1}{25} - (2 frac{64}{1000} - 1 frac{3}{4}) : frac{2}{5}= \ \ =6 frac{1}{4} * 2 frac{1}{25} - (2 frac{8}{125} - 1 frac{3}{4}) : frac{2}{5}=frac{25}{4} * frac{51}{25} - (frac{258}{125} - frac{7}{4}) : frac{2}{5}= \ \ =frac{51}{4} - (frac{258*4-7*125}{500} ) : frac{2}{5}=frac{51}{4} - frac{157}{500} : frac{2}{5}=frac{51}{4} - frac{157}{500} * frac{5}{2}=$

$=frac{51}{4} - frac{157}{200}= frac{51*50-157}{200} = frac{2393}{200} =11 frac{193}{200} =11,965$