Question 67624
FIND A COMMON DENOMINATOR . THAT IS A NUMBER DIVISABLE BY 8,6&3.
AN EASY METHOD IS TO MULTIPLY ALL THREE 8*6*3=144.
HOWEVER A SMALLER COMMON DENOMINATOR CAN BE FOUND BY FACTORING ALL NUMBERS THUS:
8=(2)*2*2
6=(2)*(3)
3=(3) COMMOM FACTORS ARE (3) & ONE SET OF (2) SO WE ONLY NEED TO USE THESE DUPLICATE FACTORS ONCE THUS 2*3. THEN THE REMAINING FACTORS 2*2
WE NOW HAVE 2*3*2*2=24 THIS IS THE LOWEST COMMON DENOMINATOR.
1/8+5/6-2/3 NOW DIVIDE 24 BY EACH DENOMINATOR & MULTIPLY THIS NUMBER BY THE NUMERATOR THEN ADD ALL NUMERATORS OVER A DENOMINATOR OF 24:
(1*3)+(5*4)-(2*8)/24
(3+20-16)/24
7/24
HAPPY CALCULATING  : )