Which has the largest value?
a) 1/5 +1/5+ 1/5
b) 3/5*2/5 – 4/5*1/5
c) (½)^3 + (1/2)^2 + (1/2)^1
d) ½ +1/3 +1/6+1/8
e) 1/9 * (1/3+9/27+9/12)
Answer
To find the answer to the above question in the shortest time require remembering just two rules:
a) For Fraction a/b where a>b, then a/b is greater than b/a
b) Finding LCM is the easiest ways to simplify operation on fractions
Now let us try each answer choices
a) 1/5 +1/5+ 1/5
3/5
b) 3/5*2/5 – 4/5*1/5
(6/25-4/25) = 2/25
Answer Choice B less than answer choice a, ELIMINATE
c) (½)^3 + (1/2)^2 + (1/2)^1
1/8 + ¼ + ½
= 7/8
d) ½ +1/3 +1/6+1/8
LCM = 24
= (12+8+4+3)/24
= 27/24
Answer Choice D greater than 1 and greater than A and C
Eliminate A & C
e) 1/9 * (1/3+9/27+9/12)
1/9 * (9/27 + 13/12)
Instead of adding the numbers in the bracket, group 1/3 and 9/12 and add it to get 13/12
Multiply 1/9
= 1/27 + 13/(9*12)
= 17/(27 *4)
Less than 1
Eliminate E
Correct Answer: D