What is the value of \(\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}\) ?

A. 0.24
B. 0.22
C. 0.06
D. −0.06
E. −0.22
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Another method, because I get nervous about approximating and this method on scratch paper is a lot faster than it looks:

Everything x 10: \(\frac{(-16)(15) - (12)(35)}{300}\)

Quickly factor each term to see what can be factored out and/or canceled because unlike many on here I am not a human calculator:

\(\frac{(-4*4)(3*5) - (3*4)(5*7)}{(3*2*2*5*5)}\)

Then factor numerator: Each term has 3, 4, 5. So (60) [(-4) - (7)]

Denominator = (60)(5)

Result: \(\frac{(60) [(-4) - (7)]}{(60)(5)}\)

Cancel to get \(\frac{-11}{5}\) = -2.2

Undo first operation, i.e. divide by 10 = -.22

Hope that's right.
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The only thing more dangerous than ignorance is arrogance.
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Hi,

A logical method would be..

The numerator has TWO negative quantities being added and a positive quantity in denominator..
So our answer has to be a NEGATIVE quantity
Only D and E are left.

The negative quantity when added 1.6*1.5 ATLEAST>2 and 1.2*3.5 ATLEAST 4..
So we are looking at ATLEAST-6 in numerator.
For this minimum value has to be 6/30 or 0.2
Now let's look at the two choices..
Only E is left.
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2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Did the long calculation and ended up having -1/500. which = -0.22