Question

помогите Сложите дроби, предварительно сократив их:Пишите по образцу 6/15 + 5/25 = 3*2/5*3 + 5*1/5*5 = 2/5 + 1/5 = 3/5 б)10/16 + 3/24, в)30/45 + 8/36, г)60/120 + 75/150, д)24/360 + 16/480

Answer 1

Б). 10/16+3/24 =(2*5)/(2*8)+3/(3*8)=5/8+1/8=6/8=(2*3)/(2*4)=3/4
в). 30/45+8/36=(15*2)/(15*3)+(4*2)/(4*9)=2/3+2/9=(2*3)/(3*3)+2/9=
   =6/9+2/9=8/9
г). 60/120+75/150=60/(60*2)+75/(75*2)=1/2+1/2=2/2=1
д). 24/360+16/480=24/(24*15)+16/(16*30)=1/15+1/30=
   =(2*1)/(2*15)+1/30=2/30+1/30=3/30=3/(3*10)=1/10

Answer 2

а) 6/15 + 5/25 = (6 * 5) / (15 * 5) + (5 * 1) / (25 * 5) = 30/75 + 5/125 = 2/5 + 1/25 = (2 * 5) / (5 * 5) + 1/25 = 10/25 + 1/25 = 11/25

б) 10/16 + 3/24 = (10 * 3) / (16 * 3) + (3 * 1) / (24 * 3) = 30/48 + 3/72 = 5/8 + 1/24 = (5 * 3) / (8 * 3) + 1/24 = 15/24 + 1/24 = 16/24 = 2/3

в) 30/45 + 8/36 = (30 * 4) / (45 * 4) + (8 * 5) / (36 * 5) = 120/180 + 40/180 = 160/180 = 8/9

г) 60/120 + 75/150 = (60 * 5) / (120 * 5) + (75 * 4) / (150 * 4) = 300/600 + 300/600 = 600/600 = 1

д) 24/360 + 16/480 = (24 * 4) / (360 * 4) + (16 * 3) / (480 * 3) = 96/1440 + 48/1440 = 144/1440 = 1/10