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# Here's a problem: Of the following which best approximates

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Intern
Joined: 27 Jul 2004
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Here's a problem: Of the following which best approximates [#permalink]  27 Jul 2004, 08:34
Here's a problem: Of the following which best approximates (0.1667)(0.8333) (0.3333)/(0.2222)(0.6667)(0.1250)?

Of course, you can't really multiply them and then divide them.

0.1667=1/6, 0.8333=5/6, 0.3333=1/3, 0.2222=2/9, 0.6667=2/3, 0.1250=1/8. So the answer is 2.5

My question is whether we need to memorize 0.1667=1/6, 0.8333=5/6, 0.3333=1/3, 0.2222=2/9, 0.6667=2/3, 0.1250=1/8. Do you guys already memorized them in junior high or high school?
CIO
Joined: 09 Mar 2003
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definately. Along with all the eighths, as well. But it's not too bad. You'll see them all over the place, anyway. Plus, there are some good patterns. .1666666 = 1/6. But recognize that .16666666 is half of .3333333 (remember, 15x2=30, and both are just a little more, and both repeat. So (1/3)/2 is 1/6. Same with .83333333 - it's halfway between .666666 and 1.0

There are only 4 eighths to learn, because all the even ones are fourths. You only have 1/6 and 5/6, cause you know all the rest. The ninths are always exactly repeating numerators (for example 1/9=.1111111, 2/9=.222222, etc)

So take it as a memory game, and put some of these into your head. It'll really help down the road sometime.
Intern
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Thank you Ian. That's very clear.
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