# Which has the largest value?

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)

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

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

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