Answer:
[tex]\frac{36}{54}[/tex] and [tex]\frac{6}{9}[/tex]
Step-by-step explanation:
We are given that some fractions
We have to find the pair of fractions which are proportional
We know that if fraction
[tex]\frac{a}{b} ,\frac{c}{d}[/tex] are proportional
Then , product of a and d is equal to product of b and c.
In [tex]\frac{14}{35}\; and \;\frac{21}{42}[/tex]
Product of 14 and 42
[tex]14\times 42=588[/tex]
Product of 35 and 21
[tex]35\times 21=735[/tex]
Hence, [tex]\frac{14}{35}[/tex] and [tex]\frac{21}{42}[/tex] are not proportional.
2.[tex]\frac{6}{7}\;and\;\frac{16}{21}[/tex]
Product of 6 and 21
[tex]6\times21=126[/tex]
Product of 7 and 16
[tex]7\times 16=112[/tex]
Hence, they are not proportional.
3.[tex]\frac{36}{54}[/tex] and [tex]\frac{6}{9}[/tex]
Product of 36 and 9
[tex]36\times 9=324[/tex]
Product of 54 and 6
[tex]54\times 6=324[/tex]
Hence, the pair of fractions are proportional.
4.[tex]\frac{21}{36}[/tex] and [tex]\frac{14}{25}[/tex]
Product of 21 and 25
[tex]21\times 25=525[/tex]
Product of 36 and 14
[tex]36\times 14=504[/tex]
Hence, pair of fractions are  proportional.
