Mathematics
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OpenStudy (anonymous):
Which of the following expressions, when multiplied by , has the LEAST value?
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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
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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 ????
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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
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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
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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
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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
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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
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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
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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?
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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