Mathematics
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OpenStudy (anonymous):
Express each ratio as a fraction in simplest form.
12 : 36
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OpenStudy (anonymous):
answers could be
1/3
2/6
2/3
3/4
hartnn (hartnn):
does 12 goes into 36 ?
how many times ?
OpenStudy (anonymous):
3 times
hartnn (hartnn):
yes!
so, 12:36 = 12/36 = 12/ (3* 12)
what gets cancelled ? what remains ?
OpenStudy (anonymous):
im not sure could you explain a bit more?
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hartnn (hartnn):
yes,
we wrote 36 as 12*3
right ?
so, numerator and denominator both have which number ?
OpenStudy (anonymous):
3! right?
hartnn (hartnn):
the common number is 12
which gets cancelled
and what remains is 1/3
got this ?
OpenStudy (anonymous):
ok i think i got it thanks so much i have one more problem for you if you have the time ok ?
hartnn (hartnn):
sure :)
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OpenStudy (anonymous):
4/7 = 3+x/21
hartnn (hartnn):
3+x/21 or (3+x)/21 ??
OpenStudy (anonymous):
x+3/21
OpenStudy (anonymous):
answers could be
x = 9
x = 15
x=33 and 3/4
x=91
hartnn (hartnn):
did you try ?
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OpenStudy (anonymous):
i am now what are your thoughts on this one?
OpenStudy (anonymous):
i think its x =9
OpenStudy (anonymous):
that would = the same as 4/7 as a decimal do you concur?
hartnn (hartnn):
if it is 4/7 = (3+x)/21
then x =9
hartnn (hartnn):
and i think its 4/7 = (3+x)/21
only
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OpenStudy (anonymous):
ok what if it does not have the ( )
hartnn (hartnn):
then answer is complicated negative value which is not in choices..
hartnn (hartnn):
4/7 -3 = x/21
(4-21)*3 = x
....not in choices...
OpenStudy (anonymous):
ok x=9 then
hartnn (hartnn):
yes
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OpenStudy (anonymous):
Ruiz invests $550 at a simple interest rate of 4%. How much interest will he earn after 5 years?
will you help with this last one too?
OpenStudy (anonymous):
answers could be
$11
$110
$1100
$11,000