A number theory problem by Vishnu Kadiri

How many fractions are there such that they can be written simultaneously in the forms

7k55k3and6l14l3\dfrac { 7k-5 }{ 5k-3 } \quad \text{and} \quad \dfrac { 6l-1 }{ 4l-3 }

for some integers kk and l?l?

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