Question

Calculati:
a)6,38:19/100=
b)25/9:2,(7)=
c)3,(63):1,(27)=
d)4/75:0,3(7)

Answer 1

a)6,38:19/100=6,38 · 100  / 19 = 638  /19 =33,57
b)25/9:2,(7)= 25 /9   : 25 / 9 = 25 /9 · 9 /25 = 225 /225 =1
2,(7 ) =  2  ·  7 /9 = ( 2·9 +7) / 7 = 25 /7
c)3,(63):1,(27)= 3· 63 /99    : 1 ·27 /99 = 360 / 99  : 126 / 99 = 360 /99 · 99 /126=
= 360 /126 = 60 /21=  20 /7 
d)4/75:0,3(7) = 4 /75  : 34 /90 = 4 /75  · 90 / 34 = 4 · 6 / 5 ·34 = 12 / 85

Answer 2

$a).6,38: \frac{19}{100} =6,38* \frac{100}{19} = \frac{638}{19} =33,57 \\ \\ b). \frac{25}{9} :2,(7)= \frac{25}{9} : \frac{25}{9} = \frac{25}{9} * \frac{9}{25} = \frac{225}{225} =1 \\ \\ c).3,(63):1,(27)= \frac{360}{99} : \frac{126}{99} = \frac{360}{99} * \frac{99}{126} = \frac{35640}{12474} =2,857 \\ \\ d). \frac{4}{75} :0,3(7)= \frac{4}{75} : \frac{34}{90} = \frac{4}{75} * \frac{90}{34} = \frac{360}{2550} =0,141$