Question

How can we find rational numbers with no common factors other than 1

Answer 1

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4/5=0.8

6/25=0.24

3/2=1.5

5/4=1.25

1/10=0.1

All the above examples are rational number with no common factors other than 1 and having terminating decimal expansion.

If prime factors of q are 2,5 or their product then the rational numbers always have terminating decimal expansion.