Question

Express 5.123 in p/q from where p and q are co primes​

Answer 1

5123/1000 is p/q form of 5.123

we have to express 5.123 in p/q , where p and q are co-prime number.

first remove decimals and write into fractional form.

as there are three digits after decimal so, write 1000 in place of denominator.

i.e., 5.123 = 5123/1000

prime factor of 1000 = 2³ × 5³

prime factor of 5123 = 1 × 5123 [ actually, 5123 is a prime number. it can't be factorised ]

so, common factor = 1

so, 5123/1000 further can't change into simpler form.

hence, 5123/1000 is p/q form of 5.123

also read similar questions:express each of the following decimals in p/q from where q not = 0 and p,q are integers

1) 0.36

2) 15.4

3)10.25

4)3.25

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