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Mathematics 12 Online
OpenStudy (anonymous):

Which of the following expressions, when multiplied by , has the LEAST value?

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

is there something missing?

jimthompson5910 (jim_thompson5910):

is there supposed to be a number after the word "by" when you wrote "when multiplied by" ?

OpenStudy (anonymous):

yea sorry i forgot to put 1/3

jimthompson5910 (jim_thompson5910):

ok, so first you need to compute each answer choice (ignore the 1/3 for now)

jimthompson5910 (jim_thompson5910):

so what does \(\Large -\frac{5}{9} + 2^2\) equal?

OpenStudy (anonymous):

3 4/9

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

convert that to an improper fraction to get ????

OpenStudy (anonymous):

3 9/4?

jimthompson5910 (jim_thompson5910):

no

jimthompson5910 (jim_thompson5910):

remember that a b/c = (a*c + b)/c

OpenStudy (anonymous):

31/9

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

do the same for the other choices B through D

OpenStudy (anonymous):

B. -189/13

OpenStudy (anonymous):

C. 57/8

jimthompson5910 (jim_thompson5910):

B is incorrect

jimthompson5910 (jim_thompson5910):

C is correct

OpenStudy (anonymous):

D. -97/15

jimthompson5910 (jim_thompson5910):

D is incorrect

OpenStudy (anonymous):

I dont know B and D

jimthompson5910 (jim_thompson5910):

how did you compute B?

OpenStudy (anonymous):

i did 7/13-16= -15 6/13 then idid -15x13=-195+6= -189/13

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

ok you have -15 6/13 correct, but you converted incorrectly

jimthompson5910 (jim_thompson5910):

so what you should do is ignore the negative and convert 15 6/13 to an improper fraction then when you do all that, make the result negative

OpenStudy (anonymous):

so would it be -201/13

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

do the same for D

OpenStudy (anonymous):

D. -113/15

jimthompson5910 (jim_thompson5910):

ok great so far

jimthompson5910 (jim_thompson5910):

To sum things up, we have these results A) 31/9 B) -201/13 C) 57/8 D) -113/15

jimthompson5910 (jim_thompson5910):

the next step is to multiply each fraction by 1/3

jimthompson5910 (jim_thompson5910):

tell me what you get when you do that

OpenStudy (anonymous):

A. 1 4/27 B. -5 2/13 C. 2 3/8 D. -2 43/45

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

everything looks good but D

OpenStudy (anonymous):

Yea thats the only one i dont understand

OpenStudy (anonymous):

i think A. is the answer

jimthompson5910 (jim_thompson5910):

one sec

jimthompson5910 (jim_thompson5910):

when you multiply -113/15 by 1/3, you should get -113/45 then you convert that to a mixed number to get -2 23/45

jimthompson5910 (jim_thompson5910):

so you should have this A. 1 4/27 B. -5 2/13 C. 2 3/8 D. -2 23/45

jimthompson5910 (jim_thompson5910):

which is the smallest of the 4?

OpenStudy (anonymous):

A

jimthompson5910 (jim_thompson5910):

keep in mind that negative numbers are smaller than positive

OpenStudy (anonymous):

Oh B

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

if you were to draw a number line, then -5 2/13 would be the furthest to the left

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