Question

express 3.423 in the form p/q, where p and q are integer and q is not equal to 0

Answer 1

The question asked to convert the given decimal number into a rational number i.e. in p / q form where q ≠ 0.

Solution ➤

3.423

= 3 + 0.4 + 0.02 + 0.003

= 3 + 4 × 1 / 10 + 2 × 1 / 100 + 3 × 1 / 1000

= 3 + 4 / 10 + 2 / 100 + 3 / 1000

【 L.C.M. = 1000 】

= 3000 / 1000 + 400 / 1000 + 20 / 1000 + 3 / 1000

= (3000 + 400 + 20 + 3) / 1000

= 3423 / 1000

Hence, 3.423 = 3423 / 1000

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