Answer:
Proportions:
18/8 and 9/4
4/7 and 10/17.5
Everything else is not a proportion
Step-by-step explanation:
To find if two fractions are a proportion, we need to set each up as a fraction. Then, we multiply both diagonal values. If we get the same value, they are proportionate.
[tex]\frac{2}{3}[/tex] and [tex]\frac{9}{12}[/tex]:
[tex]12\cdot 2= 24\\\\9 \cdot 3 = 27\\\\24 \neq 27[/tex]
So these aren't proportionate.
[tex]\frac{3}{8}[/tex] and [tex]\frac{6}{141}[/tex]:
[tex]141\cdot 3 = 423\\\\8 \cdot 6 = 48\\\\48 \neq 423[/tex]
So these aren't proportionate either.
[tex]\frac{18}{8}[/tex] and [tex]\frac{9}{4}[/tex]:
[tex]18 \cdot 4 = 72\\\\9 \cdot 8 = 72\\\\72 = 72[/tex]
So this is proportionate.
[tex]\frac{775}{1}[/tex] (since 775 is just that over 1) and [tex]\frac{27}{20}[/tex]:
[tex]775 \cdot 20 = 15500\\\\1 \cdot 27 = 27\\\\27 \neq 15500[/tex]
So this isn't proportionate.
[tex]\frac{4}{7}[/tex] and [tex]\frac{10}{17.5}[/tex]
[tex]4\cdot 17.5 = 70\\\\7 \cdot 10 = 70\\\\70 = 70[/tex]
So this is proportionate.
Hope this helped!
