Answer:
a) Proportional, proportion of 4/3.
b) `Proportional, proportion of 3/4
Step-by-step explanation:
Ratios are proportional if the result of their division is 1.
Division of fractions: Multiplication of the numerator by the inverse of the denominator.
Item a:
[tex]\frac{\frac{4}{3}}{\frac{12}{9}}=\frac{4}{3}\ast\frac{9}{12}=\frac{4\ast9}{3\ast12}=\frac{36}{36}=1[/tex]
So yes, they are proportional at the ratio of the 4/3.
Item b:
[tex]\frac{\frac{6}{8}}{\frac{9}{12}}=\frac{6}{8}\ast\frac{12}{9}=\frac{6\ast12}{8\ast9}=\frac{72}{72}=1[/tex]
So yes, they are proportional at the ratio of 6/8. This fraction can be simplified by 2, so 3/4.
