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Bunuel
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I think the easiest way to approach this problem is to convert the decimals in fractions then convert the answer to decimal

-1 3/5(1 1/2) - (1 1/5)(3 1/2)/30
(-8/5(3/2) - 6/5(7/2))/30
(-24/10 - 42/10)/30
(-66/10) /30
-11/50
-0.22

Answer is E
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Bunuel
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


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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The numbers involved are too small.
So without complicating -> Lets just simply multiply them up.


\(\frac{(−1.6)(1.5) − (1.2)(3.5)}{30}\)=> \(\frac{-2.40-4.20}{30}\) => \(\frac{-6.60}{30}\) => \(\frac{-2.20}{10}\) => -2.22

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

Your step "Everything x 10: (−16)(15)−(12)(35)/300" is wrong I guess.

Say, when you multiply 10 with (-1.6)(1.5) the answer will be (-16)(1.5) and not (-16)(15). You cannot use 10 to multiply both numbers.

Therefore, you need to multiply the whole thing by 100 not 10. Then the denominator becomes 3000 not 300.

correct me If I am wrong.
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