/=supra
*=ori
^=putere
+=plus
-=minus
1)
raportul lungimilor=6/5
rapotul latimilor=4/3
raportul arilor=(6x4)/(5x3)=24/15
24/15=(2^3*3)/(3*5)=(24/3)/(15/3)=8/5
Fractie, improprie, rescriem:
8/5=1 si rest=3=>
8/5=(1*5+3)/5=1+3/5=1 intreg si 3/5⇒fractie mixta
2)
a)
y-4/5=7/3
y-0,8=2,(3)
y=2,(3)+0,8
y=3,1(3)
b)
5x+1/2=7/3
5x+0,5=2,(3)
5x=2,(3)-0,5
5x=1,8(3)
x=1,8(3)/5
x=0,3(6)
3)
x/y=4/9k
x/4=k
x=4k
x/9=k
y=9k
(3x+2y)/(5x+y)=(4x3k+9x2k)/(4x5k+9x1k)=(12k+18k)/(20k+9k)=30k/29k=30/29
4)
a)
40% din z=25
40/100*z=25
0,4*z=25
z=25/0,4
z=62,5
b)
25% din 500=
25/100x500=0,25x500=125
c)
p=100*(12/240)=100*0,05=5%
5)
a)
100%+10%=110%
100%.........150 lei
110%.......x lei
x=150/100*110=1,5*110=165 lei
b)
100%+10%=110%
200 lei......100%
x lei.........110%
x=200/100x110=2x110=220 lei
100%-20%=80%
100%.........220 lei
80%.......x lei
x=220/100x80=2,2x80=176 lei