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tinku21rahu
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15 May 2014, 13:37
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Find an Expression Equivalent to the one below
(0.3667)(0.8333)(0.3333)
_____________________
(0.4444)(0.6667)(0.125)
a) 2.00
b) 2.40
c) 2.45
d) 2.75
e) 2.80
(0.3667)(0.8333)(0.3333)
_____________________
(0.4444)(0.6667)(0.125)
a) 2.00
b) 2.40
c) 2.45
d) 2.75
e) 2.80
Updated on: 24 May 2014, 08:23
Originally posted by GordonFreeman on 15 May 2014, 18:53.
Last edited by GordonFreeman on 24 May 2014, 08:23, edited 1 time in total.
Last edited by GordonFreeman on 24 May 2014, 08:23, edited 1 time in total.
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tinku21rahu
I get D - 2.75.
This one is tricky. I would first start out with what you know:
- \(\frac{1}{3} = .3333\)
- \(\frac{2}{3} = .6667\)
- \(\frac{1}{8} = .125\)
- \(\frac{5}{6} = .8333\)
- \(\frac{1}{8} = .125\)
- \(\frac{4}{9} = .4444\)
.3667 is tough because there is no easy fraction (at least for me) that pops off the top of my head. After some staring though, you can see that \(.3667 = .1667 + .20000\) or \(.3667 = \frac{1}{6} + \frac{1}{5} = \frac{11}{30}\).
Multiplying and simplifying we are left with:
\(\frac{(11)(5)(9)(3)(8)}{(30)(6)(3)(4)(2)} = \frac{11}{4} = 2.75\) (using long division)
Edit: Screwed up division in the last step.... whoops
Updated on: 23 May 2014, 22:11
Originally posted by benjaminstory on 23 May 2014, 22:08.
Last edited by benjaminstory on 23 May 2014, 22:11, edited 1 time in total.
Last edited by benjaminstory on 23 May 2014, 22:11, edited 1 time in total.
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The answer should be d.
Step 1: 0.3333/0.4444 = 3/4
Step 2: 0.6667 is approximately 2/3 & 0.8333 is approximately 5/6 & 0.125 = 1/8
Step 3: 0.36667 is slightly less than 36/100 = 9/25
Step 4:
(0.3667)(0.8333)(0.3333)/((0.4444)(0.6667)(0.125)) = (3/4)*(9/25)*(5/6)*8*(3/2) = 27/10 = 2.7
Since I used 36/100 to approximate 0.36667, the actual answer should be slightly larger than 2.7. So D.
Step 1: 0.3333/0.4444 = 3/4
Step 2: 0.6667 is approximately 2/3 & 0.8333 is approximately 5/6 & 0.125 = 1/8
Step 3: 0.36667 is slightly less than 36/100 = 9/25
Step 4:
(0.3667)(0.8333)(0.3333)/((0.4444)(0.6667)(0.125)) = (3/4)*(9/25)*(5/6)*8*(3/2) = 27/10 = 2.7
Since I used 36/100 to approximate 0.36667, the actual answer should be slightly larger than 2.7. So D.
