Respuesta :

36/54 and 6/9
is a pair of proportional fraction 

Answer: a) 36/54 and 6/9 pair of fractions are in proportion.

Step-by-step explanation:

Given: We have given proportions:

a) 36/54 and 6/9

b) 14/35 and 21/42

c) 21/36 and 14/25

d) 6/7 and 16/21.

To find : The pair of fractions which are in proportion.

Solution : In order to check the proportions, we need to convert the fractions in simplest form.

Let us check first given proportion

[tex]\frac{36}{54} => \frac{36\div18}{54\div18}=\frac{2}{3}[/tex]

[tex]\frac{6}{9} => \frac{6\div3}{9\div3}=\frac{2}{3}[/tex].

We can see that 36/54 and 6/9 could be reduced to lowest fraction 2/3.

Therefore, a) 36/54 and 6/9 pair of fractions are in proportion.