Answer:
d.[tex]\frac{36}{54}[/tex] and [tex]\frac{6}{9}[/tex]
Step-by-step explanation:
If two proportion [tex]\frac{a}{b}[/tex] and [tex]\frac{c}{d}[/tex] are proportional
Then product of a and d is equal to product of b and c
a.[tex]\frac{6}{7}[/tex] and [tex]\frac{16}{21}[/tex]
Product of 6 and 21=[tex]6\times 21=126[/tex]
product of 7 and 16=[tex]7\times 16=112[/tex]
Hence, given fractions are not proportional.
Option a is false
b.[tex]\frac{21}{36}[/tex] and [tex]\frac{14}{25}[/tex]
[tex]14\times 36=504[/tex]
[tex]21\times 25=525[/tex]
Hence, option b is false.
c.[tex]\frac{14}{35}[/tex] and [tex]\frac{21}{42}[/tex]
[tex]14\times 42=588[/tex]
[tex]35\times 21=735[/tex]
Hence, option c is false.
d.[tex]\frac{36}{54}[/tex] and [tex]\frac{6}{9}[/tex]
[tex]36\times 9=324[/tex]
[tex]54\times 6=324[/tex]
Given fractions are proportional
Hence, option d is true.
