Question

are the ratios 8/12 and 1/25 proportional? explain

Answer 1

explanation:
you have to calculate the minimum common multiple between (mcm) 12 and 25.
since 12=3*2^2
and
25=5^2
then mcm=25*4*3=300

Answer 2

now 300/12=25
and 25*8=200,
then your first fraction is equivalennt to:
\[\frac{ 300 }{ 300 }\]

Answer 3

so we can write:
\[\frac{ 8 }{ 12 }=\frac{ 200 }{ 300 }\]

Answer 4

since 300/25=12
and 12*1=12, so second fraction is equivalent to:
\[\frac{ 12 }{ 300 }\]

Answer 5

namely we can write:
\[\frac{ 1 }{ 25 }=\frac{ 12 }{ 300 }\]

Answer 6

finally since:
\[\frac{ 200 }{ 300 }\neq \frac{ 12 }{ 300 }\]
we conclude that:
\[\frac{ 8 }{ 12 }\neq \frac{ 1 }{ 25 }\]

Answer 7

thanks

Answer 8

finally since 25 and 12 have no divisors in common, then our fractions can not be proportional each other

Answer 9

thanks!