Question

14:-10=
-12.345:-987=
437:23=
-17.250:32=
-5.600:-100=
1.234:14=
-585:45=
79.943:-79=
7.245:26=
-875.993:4.356=
990:-55=
86.324.-81=
-456:10=
567:-11=
-12.356:-18=
-28.523:-458=

Answer 1

14:-10= -(14:10)= 14• (-1/10)= -14/10= -1 4/10= -1,4

-12.345:-987= 12, 345 : 987= 12 345/1000 • 1/987= 12 (345:5)/(1000:5) • 1/987= 12 69/200• 1/987= (200•12+69)/200• 1/987= 2469/200• 1/987= 823/200• 1/329= 823/65800= (≈0,0125)

437:23= 19;
{ (437/1• 1/23= 19/1• 1/1= 19)}

-17.250:32= -17,25• 1/32= -17 25/100• 1/32= -17 (25:25)/(100:25) • 1/32= -17 1/4• 1/32= - (4•17+1)/4 • 1/32= -69/4• 1/32= -69/128= ( ≈0,539)

-5.600:-100= 5,6• 1/100= 5,6• 0,01= 0,056 { (-5,600:-100)= 5,6• 1/100= 5 6/10• 1/100= (10•5+6)/10• 1/100= 56/10• 1/100= 14/10• 1/25= 14/250= (14:2)/(250:2)= 7/125= 0,056}

1.234:14= 1 234/1000• 1/14= 1 (234:2)/(1000:2) • 1/14= 1 117/500• 1/14= (500•1+117)/500• 1/14= 617/500• 1/14= 617/7000 = (≈ 0,088)

-585:45= -13
{ -585/1• 1/45= - 117/1• 1/9= -117/9= -13}

79.943:-79= 79 943/1000• (-1/79)= (1000•79+943)/1000• (-1/79)= 79943/1000• (-1/79)= - 79943/79000= -1 943/1000= (≈-1,012)

7.245:26= 7 245/1000• 1/26= 7 (245:5)/(1000:5)• 1/26= 7 49/200• 1/26= (200•7+49)/200• 1/26= 1449/200• 1/26= 1449/5200= (≈0,279)

-875.993:4.356= - 875 993/1000: 4 356/1000= -(1000•875+993)/1000: 4 (356:4)/(1000:4)= -875993/1000: 4 89/200= -875993/1000: (200•4+89)/200= -875993/1000: 889/200= -875993/1000• 200/889= -875993/5• 1/889= -875993/4445= -197 328/4445= (≈-197,074)

990:-55=-18
{990:-55= 990/1• -1/55= 18/1• -1/1= -18}

86.324.-81=86 324/100: -81= 86 (324:4/(100:4) • -1/81= 86 81/25• -1/81= (25• 86+ 81)/25• -1/81= 2231/25• -1/81= -2231/2025= -1 206/2025= (≈-1,102)

-456:10=-45,6
{ -456:10=-456 • 1/10= -456•0,1= -45,6; -456:10= -456/1 •1/10= -228/1• 1/5= -228/5= -45 3/5= -45,6}

567:-11=567/1• -1/11= -567/11= -51 6/11= [≈-51,(54)]

-12.356:-18=12 356/1000• 1/18= 12 (356:4)/(1000:4)• 1/18= 12 89/250• 1/18= (250•12+89)/250• 1/18= 3089/250• 1/18= 3089/4500= (≈0,686)

-28.523:-458=28 523/1000• 1/458= (1000•28+523)/1000• 1/458= 28523/1000• 1/458= 28523/458000= (≈0,06)